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Simplifying (7x + 6)(9x + 7) = 0 Reorder the terms: (6 + 7x)(9x + 7) = 0 Reorder the terms: (6 + 7x)(7 + 9x) = 0 Multiply (6 + 7x) * (7 + 9x) (6(7 + 9x) + 7x * (7 + 9x)) = 0 ((7 * 6 + 9x * 6) + 7x * (7 + 9x)) = 0 ((42 + 54x) + 7x * (7 + 9x)) = 0 (42 + 54x + (7 * 7x + 9x * 7x)) = 0 (42 + 54x + (49x + 63x2)) = 0 Combine like terms: 54x + 49x = 103x (42 + 103x + 63x2) = 0 Solving 42 + 103x + 63x2 = 0 Solving for variable 'x'. Factor a trinomial. (6 + 7x)(7 + 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 '(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 = -0.7777777778Solution
x = {-0.8571428571, -0.7777777778}
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