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Simplifying 12x2 + -10x = x2 + 4x Reorder the terms: -10x + 12x2 = x2 + 4x Reorder the terms: -10x + 12x2 = 4x + x2 Solving -10x + 12x2 = 4x + x2 Solving for variable 'x'. Reorder the terms: -10x + -4x + 12x2 + -1x2 = 4x + x2 + -4x + -1x2 Combine like terms: -10x + -4x = -14x -14x + 12x2 + -1x2 = 4x + x2 + -4x + -1x2 Combine like terms: 12x2 + -1x2 = 11x2 -14x + 11x2 = 4x + x2 + -4x + -1x2 Reorder the terms: -14x + 11x2 = 4x + -4x + x2 + -1x2 Combine like terms: 4x + -4x = 0 -14x + 11x2 = 0 + x2 + -1x2 -14x + 11x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -14x + 11x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-14 + 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 '(-14 + 11x)' equal to zero and attempt to solve: Simplifying -14 + 11x = 0 Solving -14 + 11x = 0 Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 11x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 11x = 0 + 14 11x = 0 + 14 Combine like terms: 0 + 14 = 14 11x = 14 Divide each side by '11'. x = 1.272727273 Simplifying x = 1.272727273Solution
x = {0, 1.272727273}
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