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Simplifying X2 + -5X + -64 = 7X Reorder the terms: -64 + -5X + X2 = 7X Solving -64 + -5X + X2 = 7X Solving for variable 'X'. Reorder the terms: -64 + -5X + -7X + X2 = 7X + -7X Combine like terms: -5X + -7X = -12X -64 + -12X + X2 = 7X + -7X Combine like terms: 7X + -7X = 0 -64 + -12X + X2 = 0 Factor a trinomial. (-4 + -1X)(16 + -1X) = 0Subproblem 1
Set the factor '(-4 + -1X)' equal to zero and attempt to solve: Simplifying -4 + -1X = 0 Solving -4 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1X = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1X = 0 + 4 -1X = 0 + 4 Combine like terms: 0 + 4 = 4 -1X = 4 Divide each side by '-1'. X = -4 Simplifying X = -4Subproblem 2
Set the factor '(16 + -1X)' equal to zero and attempt to solve: Simplifying 16 + -1X = 0 Solving 16 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1X = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1X = 0 + -16 -1X = 0 + -16 Combine like terms: 0 + -16 = -16 -1X = -16 Divide each side by '-1'. X = 16 Simplifying X = 16Solution
X = {-4, 16}
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