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Simplifying (-6x + 7)(7x + -5) = 0 Reorder the terms: (7 + -6x)(7x + -5) = 0 Reorder the terms: (7 + -6x)(-5 + 7x) = 0 Multiply (7 + -6x) * (-5 + 7x) (7(-5 + 7x) + -6x * (-5 + 7x)) = 0 ((-5 * 7 + 7x * 7) + -6x * (-5 + 7x)) = 0 ((-35 + 49x) + -6x * (-5 + 7x)) = 0 (-35 + 49x + (-5 * -6x + 7x * -6x)) = 0 (-35 + 49x + (30x + -42x2)) = 0 Combine like terms: 49x + 30x = 79x (-35 + 79x + -42x2) = 0 Solving -35 + 79x + -42x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + 6x)(5 + -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 '(5 + -7x)' equal to zero and attempt to solve: Simplifying 5 + -7x = 0 Solving 5 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -7x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7x = 0 + -5 -7x = 0 + -5 Combine like terms: 0 + -5 = -5 -7x = -5 Divide each side by '-7'. x = 0.7142857143 Simplifying x = 0.7142857143Solution
x = {1.166666667, 0.7142857143}
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