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Simplifying x2 + -16x + 64 = 225 Reorder the terms: 64 + -16x + x2 = 225 Solving 64 + -16x + x2 = 225 Solving for variable 'x'. Reorder the terms: 64 + -225 + -16x + x2 = 225 + -225 Combine like terms: 64 + -225 = -161 -161 + -16x + x2 = 225 + -225 Combine like terms: 225 + -225 = 0 -161 + -16x + x2 = 0 Factor a trinomial. (-7 + -1x)(23 + -1x) = 0Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve: Simplifying -7 + -1x = 0 Solving -7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 0 + 7 -1x = 0 + 7 Combine like terms: 0 + 7 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7Subproblem 2
Set the factor '(23 + -1x)' equal to zero and attempt to solve: Simplifying 23 + -1x = 0 Solving 23 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -1x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -1x = 0 + -23 -1x = 0 + -23 Combine like terms: 0 + -23 = -23 -1x = -23 Divide each side by '-1'. x = 23 Simplifying x = 23Solution
x = {-7, 23}
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