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Simplifying (3x + 1)(x + -6) = 0 Reorder the terms: (1 + 3x)(x + -6) = 0 Reorder the terms: (1 + 3x)(-6 + x) = 0 Multiply (1 + 3x) * (-6 + x) (1(-6 + x) + 3x * (-6 + x)) = 0 ((-6 * 1 + x * 1) + 3x * (-6 + x)) = 0 ((-6 + 1x) + 3x * (-6 + x)) = 0 (-6 + 1x + (-6 * 3x + x * 3x)) = 0 (-6 + 1x + (-18x + 3x2)) = 0 Combine like terms: 1x + -18x = -17x (-6 + -17x + 3x2) = 0 Solving -6 + -17x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -3x)(6 + -1x) = 0Subproblem 1
Set the factor '(-1 + -3x)' equal to zero and attempt to solve: Simplifying -1 + -3x = 0 Solving -1 + -3x = 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 + -3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 0 + 1 -3x = 0 + 1 Combine like terms: 0 + 1 = 1 -3x = 1 Divide each side by '-3'. x = -0.3333333333 Simplifying x = -0.3333333333Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {-0.3333333333, 6}
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