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Simplifying x(x + -15) = 5950 Reorder the terms: x(-15 + x) = 5950 (-15 * x + x * x) = 5950 (-15x + x2) = 5950 Solving -15x + x2 = 5950 Solving for variable 'x'. Reorder the terms: -5950 + -15x + x2 = 5950 + -5950 Combine like terms: 5950 + -5950 = 0 -5950 + -15x + x2 = 0 Factor a trinomial. (-70 + -1x)(85 + -1x) = 0Subproblem 1
Set the factor '(-70 + -1x)' equal to zero and attempt to solve: Simplifying -70 + -1x = 0 Solving -70 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '70' to each side of the equation. -70 + 70 + -1x = 0 + 70 Combine like terms: -70 + 70 = 0 0 + -1x = 0 + 70 -1x = 0 + 70 Combine like terms: 0 + 70 = 70 -1x = 70 Divide each side by '-1'. x = -70 Simplifying x = -70Subproblem 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 = {-70, 85}
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