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Simplifying (9x + 4)(9x + 4) = 0 Reorder the terms: (4 + 9x)(9x + 4) = 0 Reorder the terms: (4 + 9x)(4 + 9x) = 0 Multiply (4 + 9x) * (4 + 9x) (4(4 + 9x) + 9x * (4 + 9x)) = 0 ((4 * 4 + 9x * 4) + 9x * (4 + 9x)) = 0 ((16 + 36x) + 9x * (4 + 9x)) = 0 (16 + 36x + (4 * 9x + 9x * 9x)) = 0 (16 + 36x + (36x + 81x2)) = 0 Combine like terms: 36x + 36x = 72x (16 + 72x + 81x2) = 0 Solving 16 + 72x + 81x2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + 9x)(4 + 9x) = 0Subproblem 1
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 = -0.4444444444Subproblem 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 = {-0.4444444444, -0.4444444444}
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