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Simplifying 12x = 15x(x + -5) Reorder the terms: 12x = 15x(-5 + x) 12x = (-5 * 15x + x * 15x) 12x = (-75x + 15x2) Solving 12x = -75x + 15x2 Solving for variable 'x'. Combine like terms: 12x + 75x = 87x 87x + -15x2 = -75x + 15x2 + 75x + -15x2 Reorder the terms: 87x + -15x2 = -75x + 75x + 15x2 + -15x2 Combine like terms: -75x + 75x = 0 87x + -15x2 = 0 + 15x2 + -15x2 87x + -15x2 = 15x2 + -15x2 Combine like terms: 15x2 + -15x2 = 0 87x + -15x2 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(29 + -5x) = 0 Ignore the factor 3.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 '(29 + -5x)' equal to zero and attempt to solve: Simplifying 29 + -5x = 0 Solving 29 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -5x = 0 + -29 Combine like terms: 29 + -29 = 0 0 + -5x = 0 + -29 -5x = 0 + -29 Combine like terms: 0 + -29 = -29 -5x = -29 Divide each side by '-5'. x = 5.8 Simplifying x = 5.8Solution
x = {0, 5.8}
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