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Simplifying -12x2 + 60x2 + -75x = 0 Reorder the terms: -75x + -12x2 + 60x2 = 0 Combine like terms: -12x2 + 60x2 = 48x2 -75x + 48x2 = 0 Solving -75x + 48x2 = 0 Solving for variable 'x'. 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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