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Simplifying 4(x + -2) = -16x + 4(x2 + -8) Reorder the terms: 4(-2 + x) = -16x + 4(x2 + -8) (-2 * 4 + x * 4) = -16x + 4(x2 + -8) (-8 + 4x) = -16x + 4(x2 + -8) Reorder the terms: -8 + 4x = -16x + 4(-8 + x2) -8 + 4x = -16x + (-8 * 4 + x2 * 4) -8 + 4x = -16x + (-32 + 4x2) Reorder the terms: -8 + 4x = -32 + -16x + 4x2 Solving -8 + 4x = -32 + -16x + 4x2 Solving for variable 'x'. Reorder the terms: -8 + 32 + 4x + 16x + -4x2 = -32 + -16x + 4x2 + 32 + 16x + -4x2 Combine like terms: -8 + 32 = 24 24 + 4x + 16x + -4x2 = -32 + -16x + 4x2 + 32 + 16x + -4x2 Combine like terms: 4x + 16x = 20x 24 + 20x + -4x2 = -32 + -16x + 4x2 + 32 + 16x + -4x2 Reorder the terms: 24 + 20x + -4x2 = -32 + 32 + -16x + 16x + 4x2 + -4x2 Combine like terms: -32 + 32 = 0 24 + 20x + -4x2 = 0 + -16x + 16x + 4x2 + -4x2 24 + 20x + -4x2 = -16x + 16x + 4x2 + -4x2 Combine like terms: -16x + 16x = 0 24 + 20x + -4x2 = 0 + 4x2 + -4x2 24 + 20x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 24 + 20x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(6 + 5x + -1x2) = 0 Factor a trinomial. 4((6 + -1x)(1 + x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 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 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Subproblem 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 = {6, -1}
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