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Simplifying 9x2 + -52x2 + -12x = 0 Reorder the terms: -12x + 9x2 + -52x2 = 0 Combine like terms: 9x2 + -52x2 = -43x2 -12x + -43x2 = 0 Solving -12x + -43x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1x'. -1x(12 + 43x) = 0 Ignore the factor -1.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 '(12 + 43x)' equal to zero and attempt to solve: Simplifying 12 + 43x = 0 Solving 12 + 43x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 43x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 43x = 0 + -12 43x = 0 + -12 Combine like terms: 0 + -12 = -12 43x = -12 Divide each side by '43'. x = -0.2790697674 Simplifying x = -0.2790697674Solution
x = {0, -0.2790697674}
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