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Simplifying 16 + (-8x) + 2x2 = -2x2 + 8x + 4 Reorder the terms: 16 + (-8x) + 2x2 = 4 + 8x + -2x2 Solving 16 + (-8x) + 2x2 = 4 + 8x + -2x2 Solving for variable 'x'. Reorder the terms: 16 + -4 + (-8x) + -8x + 2x2 + 2x2 = 4 + 8x + -2x2 + -4 + -8x + 2x2 Combine like terms: 16 + -4 = 12 12 + (-8x) + -8x + 2x2 + 2x2 = 4 + 8x + -2x2 + -4 + -8x + 2x2 Combine like terms: (-8x) + -8x = -16x 12 + -16x + 2x2 + 2x2 = 4 + 8x + -2x2 + -4 + -8x + 2x2 Combine like terms: 2x2 + 2x2 = 4x2 12 + -16x + 4x2 = 4 + 8x + -2x2 + -4 + -8x + 2x2 Reorder the terms: 12 + -16x + 4x2 = 4 + -4 + 8x + -8x + -2x2 + 2x2 Combine like terms: 4 + -4 = 0 12 + -16x + 4x2 = 0 + 8x + -8x + -2x2 + 2x2 12 + -16x + 4x2 = 8x + -8x + -2x2 + 2x2 Combine like terms: 8x + -8x = 0 12 + -16x + 4x2 = 0 + -2x2 + 2x2 12 + -16x + 4x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 12 + -16x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(3 + -4x + x2) = 0 Factor a trinomial. 4((1 + -1x)(3 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {1, 3}
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