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Simplifying -4x2 + (8x + 16)(x + -4) + 80 = 0 Reorder the terms: -4x2 + (16 + 8x)(x + -4) + 80 = 0 Reorder the terms: -4x2 + (16 + 8x)(-4 + x) + 80 = 0 Multiply (16 + 8x) * (-4 + x) -4x2 + (16(-4 + x) + 8x * (-4 + x)) + 80 = 0 -4x2 + ((-4 * 16 + x * 16) + 8x * (-4 + x)) + 80 = 0 -4x2 + ((-64 + 16x) + 8x * (-4 + x)) + 80 = 0 -4x2 + (-64 + 16x + (-4 * 8x + x * 8x)) + 80 = 0 -4x2 + (-64 + 16x + (-32x + 8x2)) + 80 = 0 Combine like terms: 16x + -32x = -16x -4x2 + (-64 + -16x + 8x2) + 80 = 0 Reorder the terms: -64 + 80 + -16x + -4x2 + 8x2 = 0 Combine like terms: -64 + 80 = 16 16 + -16x + -4x2 + 8x2 = 0 Combine like terms: -4x2 + 8x2 = 4x2 16 + -16x + 4x2 = 0 Solving 16 + -16x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(4 + -4x + x2) = 0 Factor a trinomial. 4((2 + -1x)(2 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {2, 2}
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