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Simplifying x2 + -50x + 625 = -525 + 625 Reorder the terms: 625 + -50x + x2 = -525 + 625 Combine like terms: -525 + 625 = 100 625 + -50x + x2 = 100 Solving 625 + -50x + x2 = 100 Solving for variable 'x'. Reorder the terms: 625 + -100 + -50x + x2 = 100 + -100 Combine like terms: 625 + -100 = 525 525 + -50x + x2 = 100 + -100 Combine like terms: 100 + -100 = 0 525 + -50x + x2 = 0 Factor a trinomial. (15 + -1x)(35 + -1x) = 0Subproblem 1
Set the factor '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Subproblem 2
Set the factor '(35 + -1x)' equal to zero and attempt to solve: Simplifying 35 + -1x = 0 Solving 35 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -1x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -1x = 0 + -35 -1x = 0 + -35 Combine like terms: 0 + -35 = -35 -1x = -35 Divide each side by '-1'. x = 35 Simplifying x = 35Solution
x = {15, 35}
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