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Simplifying (3x + 6)(5x + -1) = 0 Reorder the terms: (6 + 3x)(5x + -1) = 0 Reorder the terms: (6 + 3x)(-1 + 5x) = 0 Multiply (6 + 3x) * (-1 + 5x) (6(-1 + 5x) + 3x * (-1 + 5x)) = 0 ((-1 * 6 + 5x * 6) + 3x * (-1 + 5x)) = 0 ((-6 + 30x) + 3x * (-1 + 5x)) = 0 (-6 + 30x + (-1 * 3x + 5x * 3x)) = 0 (-6 + 30x + (-3x + 15x2)) = 0 Combine like terms: 30x + -3x = 27x (-6 + 27x + 15x2) = 0 Solving -6 + 27x + 15x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-2 + 9x + 5x2) = 0 Factor a trinomial. 3((-2 + -1x)(1 + -5x)) = 0 Ignore the factor 3.Subproblem 1
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 = -2Subproblem 2
Set the factor '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 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 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2Solution
x = {-2, 0.2}
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