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Simplifying x * x + 30625 + 175x + x * x = 75625 Multiply x * x x2 + 30625 + 175x + x * x = 75625 Multiply x * x x2 + 30625 + 175x + x2 = 75625 Reorder the terms: 30625 + 175x + x2 + x2 = 75625 Combine like terms: x2 + x2 = 2x2 30625 + 175x + 2x2 = 75625 Solving 30625 + 175x + 2x2 = 75625 Solving for variable 'x'. Reorder the terms: 30625 + -75625 + 175x + 2x2 = 75625 + -75625 Combine like terms: 30625 + -75625 = -45000 -45000 + 175x + 2x2 = 75625 + -75625 Combine like terms: 75625 + -75625 = 0 -45000 + 175x + 2x2 = 0 Factor a trinomial. (-200 + -1x)(225 + -2x) = 0Subproblem 1
Set the factor '(-200 + -1x)' equal to zero and attempt to solve: Simplifying -200 + -1x = 0 Solving -200 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '200' to each side of the equation. -200 + 200 + -1x = 0 + 200 Combine like terms: -200 + 200 = 0 0 + -1x = 0 + 200 -1x = 0 + 200 Combine like terms: 0 + 200 = 200 -1x = 200 Divide each side by '-1'. x = -200 Simplifying x = -200Subproblem 2
Set the factor '(225 + -2x)' equal to zero and attempt to solve: Simplifying 225 + -2x = 0 Solving 225 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-225' to each side of the equation. 225 + -225 + -2x = 0 + -225 Combine like terms: 225 + -225 = 0 0 + -2x = 0 + -225 -2x = 0 + -225 Combine like terms: 0 + -225 = -225 -2x = -225 Divide each side by '-2'. x = 112.5 Simplifying x = 112.5Solution
x = {-200, 112.5}
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