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Simplifying (7x + -6)(8x + 7) = 0 Reorder the terms: (-6 + 7x)(8x + 7) = 0 Reorder the terms: (-6 + 7x)(7 + 8x) = 0 Multiply (-6 + 7x) * (7 + 8x) (-6(7 + 8x) + 7x * (7 + 8x)) = 0 ((7 * -6 + 8x * -6) + 7x * (7 + 8x)) = 0 ((-42 + -48x) + 7x * (7 + 8x)) = 0 (-42 + -48x + (7 * 7x + 8x * 7x)) = 0 (-42 + -48x + (49x + 56x2)) = 0 Combine like terms: -48x + 49x = 1x (-42 + 1x + 56x2) = 0 Solving -42 + 1x + 56x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -8x)(6 + -7x) = 0Subproblem 1
Set the factor '(-7 + -8x)' equal to zero and attempt to solve: Simplifying -7 + -8x = 0 Solving -7 + -8x = 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 + -8x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -8x = 0 + 7 -8x = 0 + 7 Combine like terms: 0 + 7 = 7 -8x = 7 Divide each side by '-8'. x = -0.875 Simplifying x = -0.875Subproblem 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 = {-0.875, 0.8571428571}
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