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Simplifying x2 = 4(4x + -16) Reorder the terms: x2 = 4(-16 + 4x) x2 = (-16 * 4 + 4x * 4) x2 = (-64 + 16x) Solving x2 = -64 + 16x Solving for variable 'x'. Reorder the terms: 64 + -16x + x2 = -64 + 16x + 64 + -16x Reorder the terms: 64 + -16x + x2 = -64 + 64 + 16x + -16x Combine like terms: -64 + 64 = 0 64 + -16x + x2 = 0 + 16x + -16x 64 + -16x + x2 = 16x + -16x Combine like terms: 16x + -16x = 0 64 + -16x + x2 = 0 Factor a trinomial. (8 + -1x)(8 + -1x) = 0Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {8, 8}
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