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Simplifying 4X2(2X + 3) = 0 Reorder the terms: 4X2(3 + 2X) = 0 (3 * 4X2 + 2X * 4X2) = 0 (12X2 + 8X3) = 0 Solving 12X2 + 8X3 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '4X2'. 4X2(3 + 2X) = 0 Ignore the factor 4.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 '(3 + 2X)' equal to zero and attempt to solve: Simplifying 3 + 2X = 0 Solving 3 + 2X = 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 + 2X = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2X = 0 + -3 2X = 0 + -3 Combine like terms: 0 + -3 = -3 2X = -3 Divide each side by '2'. X = -1.5 Simplifying X = -1.5Solution
X = {0, -1.5}
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