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Simplifying (x + -10) * x = 6375 Reorder the terms: (-10 + x) * x = 6375 Reorder the terms for easier multiplication: x(-10 + x) = 6375 (-10 * x + x * x) = 6375 (-10x + x2) = 6375 Solving -10x + x2 = 6375 Solving for variable 'x'. Reorder the terms: -6375 + -10x + x2 = 6375 + -6375 Combine like terms: 6375 + -6375 = 0 -6375 + -10x + x2 = 0 Factor a trinomial. (-75 + -1x)(85 + -1x) = 0Subproblem 1
Set the factor '(-75 + -1x)' equal to zero and attempt to solve: Simplifying -75 + -1x = 0 Solving -75 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '75' to each side of the equation. -75 + 75 + -1x = 0 + 75 Combine like terms: -75 + 75 = 0 0 + -1x = 0 + 75 -1x = 0 + 75 Combine like terms: 0 + 75 = 75 -1x = 75 Divide each side by '-1'. x = -75 Simplifying x = -75Subproblem 2
Set the factor '(85 + -1x)' equal to zero and attempt to solve: Simplifying 85 + -1x = 0 Solving 85 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-85' to each side of the equation. 85 + -85 + -1x = 0 + -85 Combine like terms: 85 + -85 = 0 0 + -1x = 0 + -85 -1x = 0 + -85 Combine like terms: 0 + -85 = -85 -1x = -85 Divide each side by '-1'. x = 85 Simplifying x = 85Solution
x = {-75, 85}
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