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Simplifying x2 + -16x + 64 = 324 Reorder the terms: 64 + -16x + x2 = 324 Solving 64 + -16x + x2 = 324 Solving for variable 'x'. Reorder the terms: 64 + -324 + -16x + x2 = 324 + -324 Combine like terms: 64 + -324 = -260 -260 + -16x + x2 = 324 + -324 Combine like terms: 324 + -324 = 0 -260 + -16x + x2 = 0 Factor a trinomial. (-10 + -1x)(26 + -1x) = 0Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve: Simplifying -10 + -1x = 0 Solving -10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = 0 + 10 -1x = 0 + 10 Combine like terms: 0 + 10 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10Subproblem 2
Set the factor '(26 + -1x)' equal to zero and attempt to solve: Simplifying 26 + -1x = 0 Solving 26 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -1x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -1x = 0 + -26 -1x = 0 + -26 Combine like terms: 0 + -26 = -26 -1x = -26 Divide each side by '-1'. x = 26 Simplifying x = 26Solution
x = {-10, 26}
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