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Simplifying 60x = 44x(x + 110) Reorder the terms: 60x = 44x(110 + x) 60x = (110 * 44x + x * 44x) 60x = (4840x + 44x2) Solving 60x = 4840x + 44x2 Solving for variable 'x'. Combine like terms: 60x + -4840x = -4780x -4780x + -44x2 = 4840x + 44x2 + -4840x + -44x2 Reorder the terms: -4780x + -44x2 = 4840x + -4840x + 44x2 + -44x2 Combine like terms: 4840x + -4840x = 0 -4780x + -44x2 = 0 + 44x2 + -44x2 -4780x + -44x2 = 44x2 + -44x2 Combine like terms: 44x2 + -44x2 = 0 -4780x + -44x2 = 0 Factor out the Greatest Common Factor (GCF), '-4x'. -4x(1195 + 11x) = 0 Ignore the factor -4.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 '(1195 + 11x)' equal to zero and attempt to solve: Simplifying 1195 + 11x = 0 Solving 1195 + 11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1195' to each side of the equation. 1195 + -1195 + 11x = 0 + -1195 Combine like terms: 1195 + -1195 = 0 0 + 11x = 0 + -1195 11x = 0 + -1195 Combine like terms: 0 + -1195 = -1195 11x = -1195 Divide each side by '11'. x = -108.6363636 Simplifying x = -108.6363636Solution
x = {0, -108.6363636}
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