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Simplifying 3x2(x2 + -1) + -1x3 * 2x = 0 Reorder the terms: 3x2(-1 + x2) + -1x3 * 2x = 0 (-1 * 3x2 + x2 * 3x2) + -1x3 * 2x = 0 (-3x2 + 3x4) + -1x3 * 2x = 0 Reorder the terms for easier multiplication: -3x2 + 3x4 + -1 * 2x3 * x = 0 Multiply -1 * 2 -3x2 + 3x4 + -2x3 * x = 0 Multiply x3 * x -3x2 + 3x4 + -2x4 = 0 Combine like terms: 3x4 + -2x4 = 1x4 -3x2 + 1x4 = 0 Solving -3x2 + 1x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(-3 + x2) = 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 '(-3 + x2)' equal to zero and attempt to solve: Simplifying -3 + x2 = 0 Solving -3 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x2 = 0 + 3 x2 = 0 + 3 Combine like terms: 0 + 3 = 3 x2 = 3 Simplifying x2 = 3 Take the square root of each side: x = {-1.732050808, 1.732050808}Solution
x = {0, -1.732050808, 1.732050808}
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