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Simplifying x2 + 4x = -8x + -20 Reorder the terms: 4x + x2 = -8x + -20 Reorder the terms: 4x + x2 = -20 + -8x Solving 4x + x2 = -20 + -8x Solving for variable 'x'. Reorder the terms: 20 + 4x + 8x + x2 = -20 + -8x + 20 + 8x Combine like terms: 4x + 8x = 12x 20 + 12x + x2 = -20 + -8x + 20 + 8x Reorder the terms: 20 + 12x + x2 = -20 + 20 + -8x + 8x Combine like terms: -20 + 20 = 0 20 + 12x + x2 = 0 + -8x + 8x 20 + 12x + x2 = -8x + 8x Combine like terms: -8x + 8x = 0 20 + 12x + x2 = 0 Factor a trinomial. (10 + x)(2 + x) = 0Subproblem 1
Set the factor '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10Subproblem 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 = {-10, -2}
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