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