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Simplifying x2 + 10x = 2x + -12 Reorder the terms: 10x + x2 = 2x + -12 Reorder the terms: 10x + x2 = -12 + 2x Solving 10x + x2 = -12 + 2x Solving for variable 'x'. Reorder the terms: 12 + 10x + -2x + x2 = -12 + 2x + 12 + -2x Combine like terms: 10x + -2x = 8x 12 + 8x + x2 = -12 + 2x + 12 + -2x Reorder the terms: 12 + 8x + x2 = -12 + 12 + 2x + -2x Combine like terms: -12 + 12 = 0 12 + 8x + x2 = 0 + 2x + -2x 12 + 8x + x2 = 2x + -2x Combine like terms: 2x + -2x = 0 12 + 8x + x2 = 0 Factor a trinomial. (6 + x)(2 + x) = 0Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Subproblem 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 = {-6, -2}
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