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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. (-1 + -6x)(9 + -2x) = 0Subproblem 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 '(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 = 4.5Solution
x = {-0.1666666667, 4.5}
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