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Simplifying (4x + 3)(9x + 4) = 0 Reorder the terms: (3 + 4x)(9x + 4) = 0 Reorder the terms: (3 + 4x)(4 + 9x) = 0 Multiply (3 + 4x) * (4 + 9x) (3(4 + 9x) + 4x * (4 + 9x)) = 0 ((4 * 3 + 9x * 3) + 4x * (4 + 9x)) = 0 ((12 + 27x) + 4x * (4 + 9x)) = 0 (12 + 27x + (4 * 4x + 9x * 4x)) = 0 (12 + 27x + (16x + 36x2)) = 0 Combine like terms: 27x + 16x = 43x (12 + 43x + 36x2) = 0 Solving 12 + 43x + 36x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + 4x)(4 + 9x) = 0Subproblem 1
Set the factor '(3 + 4x)' equal to zero and attempt to solve: Simplifying 3 + 4x = 0 Solving 3 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 0 + -3 4x = 0 + -3 Combine like terms: 0 + -3 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75Subproblem 2
Set the factor '(4 + 9x)' equal to zero and attempt to solve: Simplifying 4 + 9x = 0 Solving 4 + 9x = 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 + 9x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 9x = 0 + -4 9x = 0 + -4 Combine like terms: 0 + -4 = -4 9x = -4 Divide each side by '9'. x = -0.4444444444 Simplifying x = -0.4444444444Solution
x = {-0.75, -0.4444444444}
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