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Simplifying (-7x + 8)(6x + -7) = 0 Reorder the terms: (8 + -7x)(6x + -7) = 0 Reorder the terms: (8 + -7x)(-7 + 6x) = 0 Multiply (8 + -7x) * (-7 + 6x) (8(-7 + 6x) + -7x * (-7 + 6x)) = 0 ((-7 * 8 + 6x * 8) + -7x * (-7 + 6x)) = 0 ((-56 + 48x) + -7x * (-7 + 6x)) = 0 (-56 + 48x + (-7 * -7x + 6x * -7x)) = 0 (-56 + 48x + (49x + -42x2)) = 0 Combine like terms: 48x + 49x = 97x (-56 + 97x + -42x2) = 0 Solving -56 + 97x + -42x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + 6x)(8 + -7x) = 0Subproblem 1
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 = 1.166666667Subproblem 2
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 = 1.142857143Solution
x = {1.166666667, 1.142857143}
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