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Simplifying (7x + 5)(7x + 6) = 0 Reorder the terms: (5 + 7x)(7x + 6) = 0 Reorder the terms: (5 + 7x)(6 + 7x) = 0 Multiply (5 + 7x) * (6 + 7x) (5(6 + 7x) + 7x * (6 + 7x)) = 0 ((6 * 5 + 7x * 5) + 7x * (6 + 7x)) = 0 ((30 + 35x) + 7x * (6 + 7x)) = 0 (30 + 35x + (6 * 7x + 7x * 7x)) = 0 (30 + 35x + (42x + 49x2)) = 0 Combine like terms: 35x + 42x = 77x (30 + 77x + 49x2) = 0 Solving 30 + 77x + 49x2 = 0 Solving for variable 'x'. Factor a trinomial. (6 + 7x)(5 + 7x) = 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 '(5 + 7x)' equal to zero and attempt to solve: Simplifying 5 + 7x = 0 Solving 5 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 7x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = 0 + -5 7x = 0 + -5 Combine like terms: 0 + -5 = -5 7x = -5 Divide each side by '7'. x = -0.7142857143 Simplifying x = -0.7142857143Solution
x = {-0.8571428571, -0.7142857143}
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