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Simplifying (2x + 9)(3x + -4) = 0 Reorder the terms: (9 + 2x)(3x + -4) = 0 Reorder the terms: (9 + 2x)(-4 + 3x) = 0 Multiply (9 + 2x) * (-4 + 3x) (9(-4 + 3x) + 2x * (-4 + 3x)) = 0 ((-4 * 9 + 3x * 9) + 2x * (-4 + 3x)) = 0 ((-36 + 27x) + 2x * (-4 + 3x)) = 0 (-36 + 27x + (-4 * 2x + 3x * 2x)) = 0 (-36 + 27x + (-8x + 6x2)) = 0 Combine like terms: 27x + -8x = 19x (-36 + 19x + 6x2) = 0 Solving -36 + 19x + 6x2 = 0 Solving for variable 'x'. Factor a trinomial. (-9 + -2x)(4 + -3x) = 0Subproblem 1
Set the factor '(-9 + -2x)' equal to zero and attempt to solve: Simplifying -9 + -2x = 0 Solving -9 + -2x = 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 + -2x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2x = 0 + 9 -2x = 0 + 9 Combine like terms: 0 + 9 = 9 -2x = 9 Divide each side by '-2'. x = -4.5 Simplifying x = -4.5Subproblem 2
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 = 1.333333333Solution
x = {-4.5, 1.333333333}
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