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Simplifying (6x + -1)(2x + 9) = 0 Reorder the terms: (-1 + 6x)(2x + 9) = 0 Reorder the terms: (-1 + 6x)(9 + 2x) = 0 Multiply (-1 + 6x) * (9 + 2x) (-1(9 + 2x) + 6x * (9 + 2x)) = 0 ((9 * -1 + 2x * -1) + 6x * (9 + 2x)) = 0 ((-9 + -2x) + 6x * (9 + 2x)) = 0 (-9 + -2x + (9 * 6x + 2x * 6x)) = 0 (-9 + -2x + (54x + 12x2)) = 0 Combine like terms: -2x + 54x = 52x (-9 + 52x + 12x2) = 0 Solving -9 + 52x + 12x2 = 0 Solving for variable 'x'. Factor a trinomial. (-9 + -2x)(1 + -6x) = 0Subproblem 1
Set the factor '(-9 + -2x)' equal to zero and attempt to solve: Simplifying -9 + -2x = 0 Solving -9 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -2x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2x = 0 + 9 -2x = 0 + 9 Combine like terms: 0 + 9 = 9 -2x = 9 Divide each side by '-2'. x = -4.5 Simplifying x = -4.5Subproblem 2
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 = 0.1666666667Solution
x = {-4.5, 0.1666666667}
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