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Simplifying -10x3 + -12x2 = 2x Reorder the terms: -12x2 + -10x3 = 2x Solving -12x2 + -10x3 = 2x Solving for variable 'x'. Reorder the terms: -2x + -12x2 + -10x3 = 2x + -2x Combine like terms: 2x + -2x = 0 -2x + -12x2 + -10x3 = 0 Factor out the Greatest Common Factor (GCF), '-2x'. -2x(1 + 6x + 5x2) = 0 Factor a trinomial. -2x((1 + x)(1 + 5x)) = 0 Ignore the factor -2.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 '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Subproblem 3
Set the factor '(1 + 5x)' equal to zero and attempt to solve: Simplifying 1 + 5x = 0 Solving 1 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 0 + -1 5x = 0 + -1 Combine like terms: 0 + -1 = -1 5x = -1 Divide each side by '5'. x = -0.2 Simplifying x = -0.2Solution
x = {0, -1, -0.2}
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