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Simplifying x2 + -10x + 25 = 24 + 25 Reorder the terms: 25 + -10x + x2 = 24 + 25 Combine like terms: 24 + 25 = 49 25 + -10x + x2 = 49 Solving 25 + -10x + x2 = 49 Solving for variable 'x'. Reorder the terms: 25 + -49 + -10x + x2 = 49 + -49 Combine like terms: 25 + -49 = -24 -24 + -10x + x2 = 49 + -49 Combine like terms: 49 + -49 = 0 -24 + -10x + x2 = 0 Factor a trinomial. (-2 + -1x)(12 + -1x) = 0Subproblem 1
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 = -2Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Solution
x = {-2, 12}
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