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Simplifying (12x + 7)(4x) = 0 Reorder the terms: (7 + 12x)(4x) = 0 Remove parenthesis around (4x) (7 + 12x) * 4x = 0 Reorder the terms for easier multiplication: 4x(7 + 12x) = 0 (7 * 4x + 12x * 4x) = 0 (28x + 48x2) = 0 Solving 28x + 48x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(7 + 12x) = 0 Ignore the factor 4.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 '(7 + 12x)' equal to zero and attempt to solve: Simplifying 7 + 12x = 0 Solving 7 + 12x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 12x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 12x = 0 + -7 12x = 0 + -7 Combine like terms: 0 + -7 = -7 12x = -7 Divide each side by '12'. x = -0.5833333333 Simplifying x = -0.5833333333Solution
x = {0, -0.5833333333}
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