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Simplifying 2x(4 + -2x)(3 + 8) = 0 Combine like terms: 3 + 8 = 11 2x(4 + -2x)(11) = 0 Reorder the terms for easier multiplication: 2 * 11x(4 + -2x) = 0 Multiply 2 * 11 22x(4 + -2x) = 0 (4 * 22x + -2x * 22x) = 0 (88x + -44x2) = 0 Solving 88x + -44x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '44x'. 44x(2 + -1x) = 0 Ignore the factor 44.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 '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {0, 2}
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