(2x^2)(x+4)=0

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Solution for (2x^2)(x+4)=0 equation:


Simplifying
(2x2)(x + 4) = 0

Remove parenthesis around (2x2)
2x2(x + 4) = 0

Reorder the terms:
2x2(4 + x) = 0
(4 * 2x2 + x * 2x2) = 0
(8x2 + 2x3) = 0

Solving
8x2 + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(4 + x) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}

Subproblem 2

Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4

Solution

x = {0, -4}

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