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Simplifying (6x + -7)(8 + -1x) = 0 Reorder the terms: (-7 + 6x)(8 + -1x) = 0 Multiply (-7 + 6x) * (8 + -1x) (-7(8 + -1x) + 6x * (8 + -1x)) = 0 ((8 * -7 + -1x * -7) + 6x * (8 + -1x)) = 0 ((-56 + 7x) + 6x * (8 + -1x)) = 0 (-56 + 7x + (8 * 6x + -1x * 6x)) = 0 (-56 + 7x + (48x + -6x2)) = 0 Combine like terms: 7x + 48x = 55x (-56 + 55x + -6x2) = 0 Solving -56 + 55x + -6x2 = 0 Solving for variable 'x'. Factor a trinomial. (-8 + x)(7 + -6x) = 0Subproblem 1
Set the factor '(-8 + x)' equal to zero and attempt to solve: Simplifying -8 + x = 0 Solving -8 + x = 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 + x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + x = 0 + 8 x = 0 + 8 Combine like terms: 0 + 8 = 8 x = 8 Simplifying x = 8Subproblem 2
Set the factor '(7 + -6x)' equal to zero and attempt to solve: Simplifying 7 + -6x = 0 Solving 7 + -6x = 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 + -6x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6x = 0 + -7 -6x = 0 + -7 Combine like terms: 0 + -7 = -7 -6x = -7 Divide each side by '-6'. x = 1.166666667 Simplifying x = 1.166666667Solution
x = {8, 1.166666667}
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