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Simplifying (7x + 6)(7x + 8) = 0 Reorder the terms: (6 + 7x)(7x + 8) = 0 Reorder the terms: (6 + 7x)(8 + 7x) = 0 Multiply (6 + 7x) * (8 + 7x) (6(8 + 7x) + 7x * (8 + 7x)) = 0 ((8 * 6 + 7x * 6) + 7x * (8 + 7x)) = 0 ((48 + 42x) + 7x * (8 + 7x)) = 0 (48 + 42x + (8 * 7x + 7x * 7x)) = 0 (48 + 42x + (56x + 49x2)) = 0 Combine like terms: 42x + 56x = 98x (48 + 98x + 49x2) = 0 Solving 48 + 98x + 49x2 = 0 Solving for variable 'x'. Factor a trinomial. (8 + 7x)(6 + 7x) = 0Subproblem 1
Set the factor '(8 + 7x)' equal to zero and attempt to solve: Simplifying 8 + 7x = 0 Solving 8 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 7x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7x = 0 + -8 7x = 0 + -8 Combine like terms: 0 + -8 = -8 7x = -8 Divide each side by '7'. x = -1.142857143 Simplifying x = -1.142857143Subproblem 2
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 = -0.8571428571Solution
x = {-1.142857143, -0.8571428571}
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