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Simplifying (6x(2))(8x + 4) = 0 Reorder the terms for easier multiplication: (6 * 2x)(8x + 4) = 0 Multiply 6 * 2 (12x)(8x + 4) = 0 Remove parenthesis around (12x) 12x(8x + 4) = 0 Reorder the terms: 12x(4 + 8x) = 0 (4 * 12x + 8x * 12x) = 0 (48x + 96x2) = 0 Solving 48x + 96x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '48x'. 48x(1 + 2x) = 0 Ignore the factor 48.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 '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5Solution
x = {0, -0.5}
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