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Simplifying 8x(3x + 6) = 0 Reorder the terms: 8x(6 + 3x) = 0 (6 * 8x + 3x * 8x) = 0 (48x + 24x2) = 0 Solving 48x + 24x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '24x'. 24x(2 + x) = 0 Ignore the factor 24.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 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {0, -2}
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