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Simplifying (9x + 7)(9x + 4) = 0 Reorder the terms: (7 + 9x)(9x + 4) = 0 Reorder the terms: (7 + 9x)(4 + 9x) = 0 Multiply (7 + 9x) * (4 + 9x) (7(4 + 9x) + 9x * (4 + 9x)) = 0 ((4 * 7 + 9x * 7) + 9x * (4 + 9x)) = 0 ((28 + 63x) + 9x * (4 + 9x)) = 0 (28 + 63x + (4 * 9x + 9x * 9x)) = 0 (28 + 63x + (36x + 81x2)) = 0 Combine like terms: 63x + 36x = 99x (28 + 99x + 81x2) = 0 Solving 28 + 99x + 81x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + 9x)(4 + 9x) = 0Subproblem 1
Set the factor '(7 + 9x)' equal to zero and attempt to solve: Simplifying 7 + 9x = 0 Solving 7 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 9x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 9x = 0 + -7 9x = 0 + -7 Combine like terms: 0 + -7 = -7 9x = -7 Divide each side by '9'. x = -0.7777777778 Simplifying x = -0.7777777778Subproblem 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 = {-0.7777777778, -0.4444444444}
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