Algebra Solutions
Step-by-step solutions with Learning Insights, Quick Tips, and Common Mistakes.
The population of a town decreases by 4% every year. If its population today is 300,000, what will its population be in two years?
Answer: The population after two years will be $276{,}480$.
Jun 9, 2026
x^2+6x-5 solve for x
Answer: $x = -3 + \sqrt{14}\approx 0.742$ and $x = -3 - \sqrt{14} \a
Jun 9, 2026
se f(x)= 1/x. calcule (f(x+h)-f(x))/x
Answer: $\dfrac{-h}{x^2(x+h)}$
May 22, 2026
3(2x - 5) + 4 = 2(x + 7)
Answer: $x = \frac{25}{4} = 6.25$
May 15, 2026
2x + 5 = 13
Answer: $x = 4$
May 3, 2026
A school district is ordering new Chromebooks for students. Each Chromebook costs $285. The district also has to pay a one-time shipping fee of $1,200. If the district has a budget of $30,000, what is the maximum number of Chromebooks they can purchase without going over budget?
Answer: The district can purchase a maximum of **101 Chromebooks** f
Apr 29, 2026
x + 1 < 15
Answer: $x < 14$, or in interval notation $(-\infty, 14)$
Apr 24, 2026
x + (x + 1) + (x + 2) = 42
Answer: $x = 13$ (the three consecutive integers are 13, 14, and 15)
Apr 24, 2026
4x+14=2(x+14)
Answer: $x = 7$
Apr 24, 2026
x^2 - 4x + 4 = 0
Answer: $x = 2$ (a double root — one unique solution)
Apr 19, 2026
sqrt(x) = x - 2
Answer: $x = 4$ (x = 1 is extraneous and rejected)
Apr 19, 2026
(x + 2) / (x - 1) = 3
Answer: $x = \dfrac{5}{2}$
Apr 19, 2026
3(x + 1) = 3x + 3
Answer: All real numbers (infinitely many solutions). Every value of
Apr 19, 2026
2x + 3 = 2x + 5
Answer: No solution — the equation is a contradiction with no value
Apr 19, 2026
x^2 - 9 = 0
Answer: $x = 3$ and $x = -3$
Apr 19, 2026
2x + 5 = 11
Answer: $x = 3$
Apr 19, 2026
x^2 + x - 12 = 0
Answer: $x = -4$ and $x = 3$
Apr 19, 2026
2x^2 - 7x + 3 = 0
Answer: $x = 3$ and $x = \frac{1}{2}$
Apr 19, 2026
x^2 - 5x + 6 = 0
Answer: $x = 2$ and $x = 3$
Apr 19, 2026
x / (x - 1) = 2
Answer: $x = 2$
Apr 18, 2026
(3x - 1)/2 + 4 = (x + 5)/3
Answer: x = -1
Apr 18, 2026
(x^2 - 4) / (x - 2) = x + 2
Answer: The equation is true for all x ≠ 2 (an identity)
Apr 18, 2026
(x^2 - 9)/(x + 3) + 2 = x
Answer: No solution
Apr 18, 2026
(2x^2 - 5x - 3) / (x - 3) = 4
Answer: x = 3 is excluded (undefined); no valid solution exists
Apr 18, 2026
(x^2 - 9)/(x - 3) = 5
Answer: x = 8, but note x ≠ 3
Apr 17, 2026
x^2 + 5x + 6)/(x + 2) = 4
Answer: x = 2
Apr 17, 2026
(3x^2 - 12)/(x + 2) * (x^2 + 5x + 6)/(3(x - 2)^2) + 10/(x - 2)
Answer: $(x^2 + x + 8) / (x - 2)$, where $x eq -2, -3, 2$
Apr 14, 2026
Factor: x² - 9x + 20
Answer: (x - 4)(x - 5)
Apr 12, 2026
(x2−9)/(x2−x−6)
Answer: (x + 3)/(x + 2), where x ≠ 3 and x ≠ −2
Apr 11, 2026
(3x^2 - 12)/(x + 2) · (x^2 + 5x + 6)/(3(x - 2)^2) ÷ 10/(x - 2)
Answer: $$\frac{x + 3}{10(x - 2)}$$
Apr 11, 2026
Solve for x: 2x + 5 = 13
Answer: x = 4
Apr 11, 2026