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Evaluate $x$ . $3(x+1)^2=108$

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Add, subtract, multiply, or divide two fractions

Full solution

Q. Evaluate

x

.

3(x+1)^2=108

Divide by $3$ : Divide both sides of the equation by $3$ to simplify the equation. $\newline$ $\frac{3(x+1)^2}{3} = \frac{108}{3}$ $\newline$ $(x+1)^2 = 36$
Take square root: Take the square root of both sides to solve for $x+1$ . $\newline$ $\sqrt{(x+1)^2} = \pm\sqrt{36}$ $\newline$ $x+1 = \pm6$
Solve for positive root: Solve for $x$ by subtracting $1$ from both sides of the equation for the positive root. $\newline$ $x + 1 - 1 = 6 - 1$ $\newline$ $x = 5$
Solve for negative root: Solve for $x$ by subtracting $1$ from both sides of the equation for the negative root. $x + 1 - 1 = -6 - 1$ $x = -7$

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