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Simplifying (4x + 9)(4x + 9) = 0 Reorder the terms: (9 + 4x)(4x + 9) = 0 Reorder the terms: (9 + 4x)(9 + 4x) = 0 Multiply (9 + 4x) * (9 + 4x) (9(9 + 4x) + 4x * (9 + 4x)) = 0 ((9 * 9 + 4x * 9) + 4x * (9 + 4x)) = 0 ((81 + 36x) + 4x * (9 + 4x)) = 0 (81 + 36x + (9 * 4x + 4x * 4x)) = 0 (81 + 36x + (36x + 16x2)) = 0 Combine like terms: 36x + 36x = 72x (81 + 72x + 16x2) = 0 Solving 81 + 72x + 16x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + 4x)(9 + 4x) = 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 '(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 = -2.25Solution
x = {-2.25, -2.25}
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