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Simplifying (4x + 3)(x + 9) = 0 Reorder the terms: (3 + 4x)(x + 9) = 0 Reorder the terms: (3 + 4x)(9 + x) = 0 Multiply (3 + 4x) * (9 + x) (3(9 + x) + 4x * (9 + x)) = 0 ((9 * 3 + x * 3) + 4x * (9 + x)) = 0 ((27 + 3x) + 4x * (9 + x)) = 0 (27 + 3x + (9 * 4x + x * 4x)) = 0 (27 + 3x + (36x + 4x2)) = 0 Combine like terms: 3x + 36x = 39x (27 + 39x + 4x2) = 0 Solving 27 + 39x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + x)(3 + 4x) = 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 '(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 = -0.75Solution
x = {-9, -0.75}
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