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Simplifying x2 + -16x + 64 = 36 Reorder the terms: 64 + -16x + x2 = 36 Solving 64 + -16x + x2 = 36 Solving for variable 'x'. Reorder the terms: 64 + -36 + -16x + x2 = 36 + -36 Combine like terms: 64 + -36 = 28 28 + -16x + x2 = 36 + -36 Combine like terms: 36 + -36 = 0 28 + -16x + x2 = 0 Factor a trinomial. (2 + -1x)(14 + -1x) = 0Subproblem 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 '(14 + -1x)' equal to zero and attempt to solve: Simplifying 14 + -1x = 0 Solving 14 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 0 + -14 -1x = 0 + -14 Combine like terms: 0 + -14 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14Solution
x = {2, 14}
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