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Simplifying x2 + -15x = 7600 Reorder the terms: -15x + x2 = 7600 Solving -15x + x2 = 7600 Solving for variable 'x'. Reorder the terms: -7600 + -15x + x2 = 7600 + -7600 Combine like terms: 7600 + -7600 = 0 -7600 + -15x + x2 = 0 Factor a trinomial. (-80 + -1x)(95 + -1x) = 0Subproblem 1
Set the factor '(-80 + -1x)' equal to zero and attempt to solve: Simplifying -80 + -1x = 0 Solving -80 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '80' to each side of the equation. -80 + 80 + -1x = 0 + 80 Combine like terms: -80 + 80 = 0 0 + -1x = 0 + 80 -1x = 0 + 80 Combine like terms: 0 + 80 = 80 -1x = 80 Divide each side by '-1'. x = -80 Simplifying x = -80Subproblem 2
Set the factor '(95 + -1x)' equal to zero and attempt to solve: Simplifying 95 + -1x = 0 Solving 95 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-95' to each side of the equation. 95 + -95 + -1x = 0 + -95 Combine like terms: 95 + -95 = 0 0 + -1x = 0 + -95 -1x = 0 + -95 Combine like terms: 0 + -95 = -95 -1x = -95 Divide each side by '-1'. x = 95 Simplifying x = 95Solution
x = {-80, 95}
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