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Simplifying -4x2(x + 3) + -2x2(x + -1) = 0 Reorder the terms: -4x2(3 + x) + -2x2(x + -1) = 0 (3 * -4x2 + x * -4x2) + -2x2(x + -1) = 0 (-12x2 + -4x3) + -2x2(x + -1) = 0 Reorder the terms: -12x2 + -4x3 + -2x2(-1 + x) = 0 -12x2 + -4x3 + (-1 * -2x2 + x * -2x2) = 0 -12x2 + -4x3 + (2x2 + -2x3) = 0 Reorder the terms: -12x2 + 2x2 + -4x3 + -2x3 = 0 Combine like terms: -12x2 + 2x2 = -10x2 -10x2 + -4x3 + -2x3 = 0 Combine like terms: -4x3 + -2x3 = -6x3 -10x2 + -6x3 = 0 Solving -10x2 + -6x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-2x2'. -2x2(5 + 3x) = 0 Ignore the factor -2.Subproblem 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 '(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, -1.666666667}
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