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Simplifying x(x + 5) = 9x + 60 Reorder the terms: x(5 + x) = 9x + 60 (5 * x + x * x) = 9x + 60 (5x + x2) = 9x + 60 Reorder the terms: 5x + x2 = 60 + 9x Solving 5x + x2 = 60 + 9x Solving for variable 'x'. Reorder the terms: -60 + 5x + -9x + x2 = 60 + 9x + -60 + -9x Combine like terms: 5x + -9x = -4x -60 + -4x + x2 = 60 + 9x + -60 + -9x Reorder the terms: -60 + -4x + x2 = 60 + -60 + 9x + -9x Combine like terms: 60 + -60 = 0 -60 + -4x + x2 = 0 + 9x + -9x -60 + -4x + x2 = 9x + -9x Combine like terms: 9x + -9x = 0 -60 + -4x + x2 = 0 Factor a trinomial. (-6 + -1x)(10 + -1x) = 0Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {-6, 10}
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