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Simplifying (-1x + -6)(-9x + 2) = 0 Reorder the terms: (-6 + -1x)(-9x + 2) = 0 Reorder the terms: (-6 + -1x)(2 + -9x) = 0 Multiply (-6 + -1x) * (2 + -9x) (-6(2 + -9x) + -1x * (2 + -9x)) = 0 ((2 * -6 + -9x * -6) + -1x * (2 + -9x)) = 0 ((-12 + 54x) + -1x * (2 + -9x)) = 0 (-12 + 54x + (2 * -1x + -9x * -1x)) = 0 (-12 + 54x + (-2x + 9x2)) = 0 Combine like terms: 54x + -2x = 52x (-12 + 52x + 9x2) = 0 Solving -12 + 52x + 9x2 = 0 Solving for variable 'x'. Factor a trinomial. (-6 + -1x)(2 + -9x) = 0Subproblem 1
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 = -6Subproblem 2
Set the factor '(2 + -9x)' equal to zero and attempt to solve: Simplifying 2 + -9x = 0 Solving 2 + -9x = 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 + -9x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -9x = 0 + -2 -9x = 0 + -2 Combine like terms: 0 + -2 = -2 -9x = -2 Divide each side by '-9'. x = 0.2222222222 Simplifying x = 0.2222222222Solution
x = {-6, 0.2222222222}
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