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Simplifying 2x2 + 4 = 2(2 + -5x) Reorder the terms: 4 + 2x2 = 2(2 + -5x) 4 + 2x2 = (2 * 2 + -5x * 2) 4 + 2x2 = (4 + -10x) Add '-4' to each side of the equation. 4 + -4 + 2x2 = 4 + -4 + -10x Combine like terms: 4 + -4 = 0 0 + 2x2 = 4 + -4 + -10x 2x2 = 4 + -4 + -10x Combine like terms: 4 + -4 = 0 2x2 = 0 + -10x 2x2 = -10x Solving 2x2 = -10x Solving for variable 'x'. Reorder the terms: 10x + 2x2 = -10x + 10x Combine like terms: -10x + 10x = 0 10x + 2x2 = 0 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 = 0Subproblem 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 = -5Solution
x = {0, -5}
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