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