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