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Simplifying x(2x2 + -3) + -1x2(5x + 1) + x2 = 0 Reorder the terms: x(-3 + 2x2) + -1x2(5x + 1) + x2 = 0 (-3 * x + 2x2 * x) + -1x2(5x + 1) + x2 = 0 (-3x + 2x3) + -1x2(5x + 1) + x2 = 0 Reorder the terms: -3x + 2x3 + -1x2(1 + 5x) + x2 = 0 -3x + 2x3 + (1 * -1x2 + 5x * -1x2) + x2 = 0 -3x + 2x3 + (-1x2 + -5x3) + x2 = 0 Reorder the terms: -3x + -1x2 + x2 + 2x3 + -5x3 = 0 Combine like terms: -1x2 + x2 = 0 -3x + 0 + 2x3 + -5x3 = 0 -3x + 2x3 + -5x3 = 0 Combine like terms: 2x3 + -5x3 = -3x3 -3x + -3x3 = 0 Solving -3x + -3x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-3x'. -3x(1 + x2) = 0 Ignore the factor -3.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 + x2)' equal to zero and attempt to solve: Simplifying 1 + x2 = 0 Solving 1 + x2 = 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 + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x2 = 0 + -1 x2 = 0 + -1 Combine like terms: 0 + -1 = -1 x2 = -1 Simplifying x2 = -1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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