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Solve the equation $4x^3 + 4 = 0$

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Factor quadratics

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Q. Solve the equation

4x^3 + 4 = 0

Identify Equation Type: Identify the type of equation and isolate the variable term. $\newline$ The given equation is a cubic equation in the form of $ax^3 + c = 0$ . We need to isolate the $x^3$ term to solve for $x$ . $\newline$ $4x^3 + 4 = 0$ $\newline$ Subtract $4$ from both sides to isolate the $x^3$ term. $\newline$ $4x^3 = -4$
Isolate Variable Term: Divide both sides by the coefficient of $x^3$ to solve for $x^3$ . $\newline$ Divide both sides by $4$ to get $x^3$ on its own. $\newline$ $x^3 = -\frac{4}{4}$ $\newline$ $x^3 = -1$
Subtract Constant: Find the cube root of both sides to solve for $x$ . To find the value of $x$ , we take the cube root of both sides of the equation. $x = (-1)^{\frac{1}{3}}$ Since the cube root of $-1$ is $-1$ , we find that: $x = -1$

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