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Simplifying (x + -9)(3x + 4) = 0 Reorder the terms: (-9 + x)(3x + 4) = 0 Reorder the terms: (-9 + x)(4 + 3x) = 0 Multiply (-9 + x) * (4 + 3x) (-9(4 + 3x) + x(4 + 3x)) = 0 ((4 * -9 + 3x * -9) + x(4 + 3x)) = 0 ((-36 + -27x) + x(4 + 3x)) = 0 (-36 + -27x + (4 * x + 3x * x)) = 0 (-36 + -27x + (4x + 3x2)) = 0 Combine like terms: -27x + 4x = -23x (-36 + -23x + 3x2) = 0 Solving -36 + -23x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -3x)(9 + -1x) = 0Subproblem 1
Set the factor '(-4 + -3x)' equal to zero and attempt to solve: Simplifying -4 + -3x = 0 Solving -4 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 0 + 4 -3x = 0 + 4 Combine like terms: 0 + 4 = 4 -3x = 4 Divide each side by '-3'. x = -1.333333333 Simplifying x = -1.333333333Subproblem 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 = {-1.333333333, 9}
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