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Simplifying 8X(3 + -3X) + -8X2 = 0 (3 * 8X + -3X * 8X) + -8X2 = 0 (24X + -24X2) + -8X2 = 0 Combine like terms: -24X2 + -8X2 = -32X2 24X + -32X2 = 0 Solving 24X + -32X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '8X'. 8X(3 + -4X) = 0 Ignore the factor 8.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 '(3 + -4X)' equal to zero and attempt to solve: Simplifying 3 + -4X = 0 Solving 3 + -4X = 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 + -4X = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4X = 0 + -3 -4X = 0 + -3 Combine like terms: 0 + -3 = -3 -4X = -3 Divide each side by '-4'. X = 0.75 Simplifying X = 0.75Solution
X = {0, 0.75}
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