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Simplifying (4x + -8)(4x + -8) = 16 Reorder the terms: (-8 + 4x)(4x + -8) = 16 Reorder the terms: (-8 + 4x)(-8 + 4x) = 16 Multiply (-8 + 4x) * (-8 + 4x) (-8(-8 + 4x) + 4x * (-8 + 4x)) = 16 ((-8 * -8 + 4x * -8) + 4x * (-8 + 4x)) = 16 ((64 + -32x) + 4x * (-8 + 4x)) = 16 (64 + -32x + (-8 * 4x + 4x * 4x)) = 16 (64 + -32x + (-32x + 16x2)) = 16 Combine like terms: -32x + -32x = -64x (64 + -64x + 16x2) = 16 Solving 64 + -64x + 16x2 = 16 Solving for variable 'x'. Reorder the terms: 64 + -16 + -64x + 16x2 = 16 + -16 Combine like terms: 64 + -16 = 48 48 + -64x + 16x2 = 16 + -16 Combine like terms: 16 + -16 = 0 48 + -64x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), '16'. 16(3 + -4x + x2) = 0 Factor a trinomial. 16((1 + -1x)(3 + -1x)) = 0 Ignore the factor 16.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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