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Simplifying (3x + -3)(6x + 1) = 0 Reorder the terms: (-3 + 3x)(6x + 1) = 0 Reorder the terms: (-3 + 3x)(1 + 6x) = 0 Multiply (-3 + 3x) * (1 + 6x) (-3(1 + 6x) + 3x * (1 + 6x)) = 0 ((1 * -3 + 6x * -3) + 3x * (1 + 6x)) = 0 ((-3 + -18x) + 3x * (1 + 6x)) = 0 (-3 + -18x + (1 * 3x + 6x * 3x)) = 0 (-3 + -18x + (3x + 18x2)) = 0 Combine like terms: -18x + 3x = -15x (-3 + -15x + 18x2) = 0 Solving -3 + -15x + 18x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-1 + -5x + 6x2) = 0 Factor a trinomial. 3((-1 + -6x)(1 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-1 + -6x)' equal to zero and attempt to solve: Simplifying -1 + -6x = 0 Solving -1 + -6x = 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 + -6x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -6x = 0 + 1 -6x = 0 + 1 Combine like terms: 0 + 1 = 1 -6x = 1 Divide each side by '-6'. x = -0.1666666667 Simplifying x = -0.1666666667Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {-0.1666666667, 1}
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