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Simplifying 8x2 + -12x = x2 + -2x Reorder the terms: -12x + 8x2 = x2 + -2x Reorder the terms: -12x + 8x2 = -2x + x2 Solving -12x + 8x2 = -2x + x2 Solving for variable 'x'. Reorder the terms: -12x + 2x + 8x2 + -1x2 = -2x + x2 + 2x + -1x2 Combine like terms: -12x + 2x = -10x -10x + 8x2 + -1x2 = -2x + x2 + 2x + -1x2 Combine like terms: 8x2 + -1x2 = 7x2 -10x + 7x2 = -2x + x2 + 2x + -1x2 Reorder the terms: -10x + 7x2 = -2x + 2x + x2 + -1x2 Combine like terms: -2x + 2x = 0 -10x + 7x2 = 0 + x2 + -1x2 -10x + 7x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -10x + 7x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-10 + 7x) = 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 '(-10 + 7x)' equal to zero and attempt to solve: Simplifying -10 + 7x = 0 Solving -10 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 7x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 7x = 0 + 10 7x = 0 + 10 Combine like terms: 0 + 10 = 10 7x = 10 Divide each side by '7'. x = 1.428571429 Simplifying x = 1.428571429Solution
x = {0, 1.428571429}
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