(x*2)(x+5)=0

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Solution for (x*2)(x+5)=0 equation:


Simplifying
(x * 2)(x + 5) = 0

Reorder the terms for easier multiplication:
(2x)(x + 5) = 0

Remove parenthesis around (2x)
2x(x + 5) = 0

Reorder the terms:
2x(5 + x) = 0
(5 * 2x + x * 2x) = 0
(10x + 2x2) = 0

Solving
10x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(5 + x) = 0

Ignore the factor 2.

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 '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5

Solution

x = {0, -5}

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