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Simplifying (7x + 6)(7x + -5) = 0 Reorder the terms: (6 + 7x)(7x + -5) = 0 Reorder the terms: (6 + 7x)(-5 + 7x) = 0 Multiply (6 + 7x) * (-5 + 7x) (6(-5 + 7x) + 7x * (-5 + 7x)) = 0 ((-5 * 6 + 7x * 6) + 7x * (-5 + 7x)) = 0 ((-30 + 42x) + 7x * (-5 + 7x)) = 0 (-30 + 42x + (-5 * 7x + 7x * 7x)) = 0 (-30 + 42x + (-35x + 49x2)) = 0 Combine like terms: 42x + -35x = 7x (-30 + 7x + 49x2) = 0 Solving -30 + 7x + 49x2 = 0 Solving for variable 'x'. Factor a trinomial. (-6 + -7x)(5 + -7x) = 0Subproblem 1
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 = -0.8571428571Subproblem 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 = {-0.8571428571, 0.7142857143}
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