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Simplifying (-3x + -8)(-1x + 9) = 0 Reorder the terms: (-8 + -3x)(-1x + 9) = 0 Reorder the terms: (-8 + -3x)(9 + -1x) = 0 Multiply (-8 + -3x) * (9 + -1x) (-8(9 + -1x) + -3x * (9 + -1x)) = 0 ((9 * -8 + -1x * -8) + -3x * (9 + -1x)) = 0 ((-72 + 8x) + -3x * (9 + -1x)) = 0 (-72 + 8x + (9 * -3x + -1x * -3x)) = 0 (-72 + 8x + (-27x + 3x2)) = 0 Combine like terms: 8x + -27x = -19x (-72 + -19x + 3x2) = 0 Solving -72 + -19x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (-8 + -3x)(9 + -1x) = 0Subproblem 1
Set the factor '(-8 + -3x)' equal to zero and attempt to solve: Simplifying -8 + -3x = 0 Solving -8 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -3x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = 0 + 8 -3x = 0 + 8 Combine like terms: 0 + 8 = 8 -3x = 8 Divide each side by '-3'. x = -2.666666667 Simplifying x = -2.666666667Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 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 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {-2.666666667, 9}
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