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Simplifying 64 + 225 = x2 + 16x + 64 Combine like terms: 64 + 225 = 289 289 = x2 + 16x + 64 Reorder the terms: 289 = 64 + 16x + x2 Solving 289 = 64 + 16x + x2 Solving for variable 'x'. Combine like terms: 289 + -64 = 225 225 + -16x + -1x2 = 64 + 16x + x2 + -64 + -16x + -1x2 Reorder the terms: 225 + -16x + -1x2 = 64 + -64 + 16x + -16x + x2 + -1x2 Combine like terms: 64 + -64 = 0 225 + -16x + -1x2 = 0 + 16x + -16x + x2 + -1x2 225 + -16x + -1x2 = 16x + -16x + x2 + -1x2 Combine like terms: 16x + -16x = 0 225 + -16x + -1x2 = 0 + x2 + -1x2 225 + -16x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 225 + -16x + -1x2 = 0 Factor a trinomial. (9 + -1x)(25 + x) = 0Subproblem 1
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Subproblem 2
Set the factor '(25 + x)' equal to zero and attempt to solve: Simplifying 25 + x = 0 Solving 25 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + x = 0 + -25 x = 0 + -25 Combine like terms: 0 + -25 = -25 x = -25 Simplifying x = -25Solution
x = {9, -25}
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