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Simplifying x + 7 = x2 + -10x + 25 Reorder the terms: 7 + x = x2 + -10x + 25 Reorder the terms: 7 + x = 25 + -10x + x2 Solving 7 + x = 25 + -10x + x2 Solving for variable 'x'. Reorder the terms: 7 + -25 + x + 10x + -1x2 = 25 + -10x + x2 + -25 + 10x + -1x2 Combine like terms: 7 + -25 = -18 -18 + x + 10x + -1x2 = 25 + -10x + x2 + -25 + 10x + -1x2 Combine like terms: x + 10x = 11x -18 + 11x + -1x2 = 25 + -10x + x2 + -25 + 10x + -1x2 Reorder the terms: -18 + 11x + -1x2 = 25 + -25 + -10x + 10x + x2 + -1x2 Combine like terms: 25 + -25 = 0 -18 + 11x + -1x2 = 0 + -10x + 10x + x2 + -1x2 -18 + 11x + -1x2 = -10x + 10x + x2 + -1x2 Combine like terms: -10x + 10x = 0 -18 + 11x + -1x2 = 0 + x2 + -1x2 -18 + 11x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -18 + 11x + -1x2 = 0 Factor a trinomial. (-9 + x)(2 + -1x) = 0Subproblem 1
Set the factor '(-9 + x)' equal to zero and attempt to solve: Simplifying -9 + x = 0 Solving -9 + x = 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 + x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + x = 0 + 9 x = 0 + 9 Combine like terms: 0 + 9 = 9 x = 9 Simplifying x = 9Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {9, 2}
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