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Simplifying x2 + -13x + 64 = 3x Reorder the terms: 64 + -13x + x2 = 3x Solving 64 + -13x + x2 = 3x Solving for variable 'x'. Reorder the terms: 64 + -13x + -3x + x2 = 3x + -3x Combine like terms: -13x + -3x = -16x 64 + -16x + x2 = 3x + -3x Combine like terms: 3x + -3x = 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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