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Simplifying 0 = 4x + -1(x + -2x2) + x(3 + -1x) 0 = 4x + (x * -1 + -2x2 * -1) + x(3 + -1x) 0 = 4x + (-1x + 2x2) + x(3 + -1x) 0 = 4x + -1x + 2x2 + (3 * x + -1x * x) 0 = 4x + -1x + 2x2 + (3x + -1x2) Reorder the terms: 0 = 4x + -1x + 3x + 2x2 + -1x2 Combine like terms: 4x + -1x = 3x 0 = 3x + 3x + 2x2 + -1x2 Combine like terms: 3x + 3x = 6x 0 = 6x + 2x2 + -1x2 Combine like terms: 2x2 + -1x2 = 1x2 0 = 6x + 1x2 Solving 0 = 6x + 1x2 Solving for variable 'x'. Remove the zero: -6x + -1x2 = 6x + 1x2 + -6x + -1x2 Reorder the terms: -6x + -1x2 = 6x + -6x + 1x2 + -1x2 Combine like terms: 6x + -6x = 0 -6x + -1x2 = 0 + 1x2 + -1x2 -6x + -1x2 = 1x2 + -1x2 Combine like terms: 1x2 + -1x2 = 0 -6x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(6 + x) = 0 Ignore the factor -1.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 '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Solution
x = {0, -6}
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