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Simplifying (4x + 9)(3x + 4) = 0 Reorder the terms: (9 + 4x)(3x + 4) = 0 Reorder the terms: (9 + 4x)(4 + 3x) = 0 Multiply (9 + 4x) * (4 + 3x) (9(4 + 3x) + 4x * (4 + 3x)) = 0 ((4 * 9 + 3x * 9) + 4x * (4 + 3x)) = 0 ((36 + 27x) + 4x * (4 + 3x)) = 0 (36 + 27x + (4 * 4x + 3x * 4x)) = 0 (36 + 27x + (16x + 12x2)) = 0 Combine like terms: 27x + 16x = 43x (36 + 43x + 12x2) = 0 Solving 36 + 43x + 12x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + 4x)(4 + 3x) = 0Subproblem 1
Set the factor '(9 + 4x)' equal to zero and attempt to solve: Simplifying 9 + 4x = 0 Solving 9 + 4x = 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 + 4x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4x = 0 + -9 4x = 0 + -9 Combine like terms: 0 + -9 = -9 4x = -9 Divide each side by '4'. x = -2.25 Simplifying x = -2.25Subproblem 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 = {-2.25, -1.333333333}
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