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Simplifying (7x + 6)(9x + 4) = 0 Reorder the terms: (6 + 7x)(9x + 4) = 0 Reorder the terms: (6 + 7x)(4 + 9x) = 0 Multiply (6 + 7x) * (4 + 9x) (6(4 + 9x) + 7x * (4 + 9x)) = 0 ((4 * 6 + 9x * 6) + 7x * (4 + 9x)) = 0 ((24 + 54x) + 7x * (4 + 9x)) = 0 (24 + 54x + (4 * 7x + 9x * 7x)) = 0 (24 + 54x + (28x + 63x2)) = 0 Combine like terms: 54x + 28x = 82x (24 + 82x + 63x2) = 0 Solving 24 + 82x + 63x2 = 0 Solving for variable 'x'. Factor a trinomial. (6 + 7x)(4 + 9x) = 0Subproblem 1
Set the factor '(6 + 7x)' equal to zero and attempt to solve: Simplifying 6 + 7x = 0 Solving 6 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 7x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = 0 + -6 7x = 0 + -6 Combine like terms: 0 + -6 = -6 7x = -6 Divide each side by '7'. x = -0.8571428571 Simplifying x = -0.8571428571Subproblem 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 = {-0.8571428571, -0.4444444444}
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