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Simplifying (x2 + -4x + 4) + -1(x2 + -4) + -1(x2 + 8x + 16) + -3 = 0 Reorder the terms: (4 + -4x + x2) + -1(x2 + -4) + -1(x2 + 8x + 16) + -3 = 0 Remove parenthesis around (4 + -4x + x2) 4 + -4x + x2 + -1(x2 + -4) + -1(x2 + 8x + 16) + -3 = 0 Reorder the terms: 4 + -4x + x2 + -1(-4 + x2) + -1(x2 + 8x + 16) + -3 = 0 4 + -4x + x2 + (-4 * -1 + x2 * -1) + -1(x2 + 8x + 16) + -3 = 0 4 + -4x + x2 + (4 + -1x2) + -1(x2 + 8x + 16) + -3 = 0 Reorder the terms: 4 + -4x + x2 + 4 + -1x2 + -1(16 + 8x + x2) + -3 = 0 4 + -4x + x2 + 4 + -1x2 + (16 * -1 + 8x * -1 + x2 * -1) + -3 = 0 4 + -4x + x2 + 4 + -1x2 + (-16 + -8x + -1x2) + -3 = 0 Reorder the terms: 4 + 4 + -16 + -3 + -4x + -8x + x2 + -1x2 + -1x2 = 0 Combine like terms: 4 + 4 = 8 8 + -16 + -3 + -4x + -8x + x2 + -1x2 + -1x2 = 0 Combine like terms: 8 + -16 = -8 -8 + -3 + -4x + -8x + x2 + -1x2 + -1x2 = 0 Combine like terms: -8 + -3 = -11 -11 + -4x + -8x + x2 + -1x2 + -1x2 = 0 Combine like terms: -4x + -8x = -12x -11 + -12x + x2 + -1x2 + -1x2 = 0 Combine like terms: x2 + -1x2 = 0 -11 + -12x + 0 + -1x2 = 0 -11 + -12x + -1x2 = 0 Solving -11 + -12x + -1x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(11 + 12x + x2) = 0 Factor a trinomial. -1((11 + x)(1 + x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(11 + x)' equal to zero and attempt to solve: Simplifying 11 + x = 0 Solving 11 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + x = 0 + -11 x = 0 + -11 Combine like terms: 0 + -11 = -11 x = -11 Simplifying x = -11Subproblem 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 = {-11, -1}
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