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Simplifying (3x + -5)(9 + -1x) = 0 Reorder the terms: (-5 + 3x)(9 + -1x) = 0 Multiply (-5 + 3x) * (9 + -1x) (-5(9 + -1x) + 3x * (9 + -1x)) = 0 ((9 * -5 + -1x * -5) + 3x * (9 + -1x)) = 0 ((-45 + 5x) + 3x * (9 + -1x)) = 0 (-45 + 5x + (9 * 3x + -1x * 3x)) = 0 (-45 + 5x + (27x + -3x2)) = 0 Combine like terms: 5x + 27x = 32x (-45 + 32x + -3x2) = 0 Solving -45 + 32x + -3x2 = 0 Solving for variable 'x'. Factor a trinomial. (-9 + x)(5 + -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 '(5 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667Solution
x = {9, 1.666666667}
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