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Simplifying x2 = x(10 + -3x2) x2 = (10 * x + -3x2 * x) x2 = (10x + -3x3) Solving x2 = 10x + -3x3 Solving for variable 'x'. Reorder the terms: -10x + x2 + 3x3 = 10x + -3x3 + -10x + 3x3 Reorder the terms: -10x + x2 + 3x3 = 10x + -10x + -3x3 + 3x3 Combine like terms: 10x + -10x = 0 -10x + x2 + 3x3 = 0 + -3x3 + 3x3 -10x + x2 + 3x3 = -3x3 + 3x3 Combine like terms: -3x3 + 3x3 = 0 -10x + x2 + 3x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-10 + x + 3x2) = 0 Factor a trinomial. x((-2 + -1x)(5 + -3x)) = 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 '(-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 = -2Subproblem 3
Set the factor '(5 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 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 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667Solution
x = {0, -2, 1.666666667}
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