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Simplifying 12x2 = 60x2 + 75x Reorder the terms: 12x2 = 75x + 60x2 Solving 12x2 = 75x + 60x2 Solving for variable 'x'. Reorder the terms: -75x + 12x2 + -60x2 = 75x + 60x2 + -75x + -60x2 Combine like terms: 12x2 + -60x2 = -48x2 -75x + -48x2 = 75x + 60x2 + -75x + -60x2 Reorder the terms: -75x + -48x2 = 75x + -75x + 60x2 + -60x2 Combine like terms: 75x + -75x = 0 -75x + -48x2 = 0 + 60x2 + -60x2 -75x + -48x2 = 60x2 + -60x2 Combine like terms: 60x2 + -60x2 = 0 -75x + -48x2 = 0 Factor out the Greatest Common Factor (GCF), '-3x'. -3x(25 + 16x) = 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 '(25 + 16x)' equal to zero and attempt to solve: Simplifying 25 + 16x = 0 Solving 25 + 16x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 16x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 16x = 0 + -25 16x = 0 + -25 Combine like terms: 0 + -25 = -25 16x = -25 Divide each side by '16'. x = -1.5625 Simplifying x = -1.5625Solution
x = {0, -1.5625}
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