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Simplifying 5x(x + 40) + -6x = 9x Reorder the terms: 5x(40 + x) + -6x = 9x (40 * 5x + x * 5x) + -6x = 9x (200x + 5x2) + -6x = 9x Reorder the terms: 200x + -6x + 5x2 = 9x Combine like terms: 200x + -6x = 194x 194x + 5x2 = 9x Solving 194x + 5x2 = 9x Solving for variable 'x'. Reorder the terms: 194x + -9x + 5x2 = 9x + -9x Combine like terms: 194x + -9x = 185x 185x + 5x2 = 9x + -9x Combine like terms: 9x + -9x = 0 185x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), '5x'. 5x(37 + x) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(37 + x)' equal to zero and attempt to solve: Simplifying 37 + x = 0 Solving 37 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + x = 0 + -37 Combine like terms: 37 + -37 = 0 0 + x = 0 + -37 x = 0 + -37 Combine like terms: 0 + -37 = -37 x = -37 Simplifying x = -37Solution
x = {0, -37}
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