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Simplifying 3X(2X + -4) + 4X(3X + 5) = 0 Reorder the terms: 3X(-4 + 2X) + 4X(3X + 5) = 0 (-4 * 3X + 2X * 3X) + 4X(3X + 5) = 0 (-12X + 6X2) + 4X(3X + 5) = 0 Reorder the terms: -12X + 6X2 + 4X(5 + 3X) = 0 -12X + 6X2 + (5 * 4X + 3X * 4X) = 0 -12X + 6X2 + (20X + 12X2) = 0 Reorder the terms: -12X + 20X + 6X2 + 12X2 = 0 Combine like terms: -12X + 20X = 8X 8X + 6X2 + 12X2 = 0 Combine like terms: 6X2 + 12X2 = 18X2 8X + 18X2 = 0 Solving 8X + 18X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '2X'. 2X(4 + 9X) = 0 Ignore the factor 2.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 '(4 + 9X)' equal to zero and attempt to solve: Simplifying 4 + 9X = 0 Solving 4 + 9X = 0 Move all terms containing X to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 9X = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 9X = 0 + -4 9X = 0 + -4 Combine like terms: 0 + -4 = -4 9X = -4 Divide each side by '9'. X = -0.4444444444 Simplifying X = -0.4444444444Solution
X = {0, -0.4444444444}
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