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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 = 14x (-48 + 14x + 49x2) = 0 Solving -48 + 14x + 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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