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Simplifying (3x + -1)(9 + -1x) = 0 Reorder the terms: (-1 + 3x)(9 + -1x) = 0 Multiply (-1 + 3x) * (9 + -1x) (-1(9 + -1x) + 3x * (9 + -1x)) = 0 ((9 * -1 + -1x * -1) + 3x * (9 + -1x)) = 0 ((-9 + 1x) + 3x * (9 + -1x)) = 0 (-9 + 1x + (9 * 3x + -1x * 3x)) = 0 (-9 + 1x + (27x + -3x2)) = 0 Combine like terms: 1x + 27x = 28x (-9 + 28x + -3x2) = 0 Solving -9 + 28x + -3x2 = 0 Solving for variable 'x'. Factor a trinomial. (-9 + x)(1 + -3x) = 0Subproblem 1
Set the factor '(-9 + x)' equal to zero and attempt to solve: Simplifying -9 + x = 0 Solving -9 + x = 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 + x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + x = 0 + 9 x = 0 + 9 Combine like terms: 0 + 9 = 9 x = 9 Simplifying x = 9Subproblem 2
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 = 0.3333333333Solution
x = {9, 0.3333333333}
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