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

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


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

Reorder the terms:
(2 + x)(x)(4) = 0

Reorder the terms for easier multiplication:
4x(2 + x) = 0
(2 * 4x + x * 4x) = 0
(8x + 4x2) = 0

Solving
8x + 4x2 = 0

Solving for variable 'x'.

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

Ignore the factor 4.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2

Solution

x = {0, -2}

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