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Simplifying (5x + 2)(6x) = 0 Reorder the terms: (2 + 5x)(6x) = 0 Remove parenthesis around (6x) (2 + 5x) * 6x = 0 Reorder the terms for easier multiplication: 6x(2 + 5x) = 0 (2 * 6x + 5x * 6x) = 0 (12x + 30x2) = 0 Solving 12x + 30x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6x'. 6x(2 + 5x) = 0 Ignore the factor 6.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 + 5x)' equal to zero and attempt to solve: Simplifying 2 + 5x = 0 Solving 2 + 5x = 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 + 5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 0 + -2 5x = 0 + -2 Combine like terms: 0 + -2 = -2 5x = -2 Divide each side by '5'. x = -0.4 Simplifying x = -0.4Solution
x = {0, -0.4}
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