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Simplifying 3x2 + 6x + -14x2 + -14x = 0 Reorder the terms: 6x + -14x + 3x2 + -14x2 = 0 Combine like terms: 6x + -14x = -8x -8x + 3x2 + -14x2 = 0 Combine like terms: 3x2 + -14x2 = -11x2 -8x + -11x2 = 0 Solving -8x + -11x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1x'. -1x(8 + 11x) = 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 '(8 + 11x)' equal to zero and attempt to solve: Simplifying 8 + 11x = 0 Solving 8 + 11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 11x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 11x = 0 + -8 11x = 0 + -8 Combine like terms: 0 + -8 = -8 11x = -8 Divide each side by '11'. x = -0.7272727273 Simplifying x = -0.7272727273Solution
x = {0, -0.7272727273}
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