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Simplifying 2x2 + 10x = -2x + -16 Reorder the terms: 10x + 2x2 = -2x + -16 Reorder the terms: 10x + 2x2 = -16 + -2x Solving 10x + 2x2 = -16 + -2x Solving for variable 'x'. Reorder the terms: 16 + 10x + 2x + 2x2 = -16 + -2x + 16 + 2x Combine like terms: 10x + 2x = 12x 16 + 12x + 2x2 = -16 + -2x + 16 + 2x Reorder the terms: 16 + 12x + 2x2 = -16 + 16 + -2x + 2x Combine like terms: -16 + 16 = 0 16 + 12x + 2x2 = 0 + -2x + 2x 16 + 12x + 2x2 = -2x + 2x Combine like terms: -2x + 2x = 0 16 + 12x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(8 + 6x + x2) = 0 Factor a trinomial. 2((4 + x)(2 + x)) = 0 Ignore the factor 2.Subproblem 1
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 = -4Subproblem 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 = -2Solution
x = {-4, -2}
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