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Simplifying x2 + -12x2 + 36x = 0 Reorder the terms: 36x + x2 + -12x2 = 0 Combine like terms: x2 + -12x2 = -11x2 36x + -11x2 = 0 Solving 36x + -11x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(36 + -11x) = 0Subproblem 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 '(36 + -11x)' equal to zero and attempt to solve: Simplifying 36 + -11x = 0 Solving 36 + -11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -11x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -11x = 0 + -36 -11x = 0 + -36 Combine like terms: 0 + -36 = -36 -11x = -36 Divide each side by '-11'. x = 3.272727273 Simplifying x = 3.272727273Solution
x = {0, 3.272727273}
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