2x(x+24)=-288

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Solution for 2x(x+24)=-288 equation:


Simplifying
2x(x + 24) = -288

Reorder the terms:
2x(24 + x) = -288
(24 * 2x + x * 2x) = -288
(48x + 2x2) = -288

Solving
48x + 2x2 = -288

Solving for variable 'x'.

Reorder the terms:
288 + 48x + 2x2 = -288 + 288

Combine like terms: -288 + 288 = 0
288 + 48x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(144 + 24x + x2) = 0

Factor a trinomial.
2((12 + x)(12 + x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(12 + x)' equal to zero and attempt to solve: Simplifying 12 + x = 0 Solving 12 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + x = 0 + -12 x = 0 + -12 Combine like terms: 0 + -12 = -12 x = -12 Simplifying x = -12

Subproblem 2

Set the factor '(12 + x)' equal to zero and attempt to solve: Simplifying 12 + x = 0 Solving 12 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + x = 0 + -12 x = 0 + -12 Combine like terms: 0 + -12 = -12 x = -12 Simplifying x = -12

Solution

x = {-12, -12}

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