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Simplifying (6x + 7)(7x + -6) = 0 Reorder the terms: (7 + 6x)(7x + -6) = 0 Reorder the terms: (7 + 6x)(-6 + 7x) = 0 Multiply (7 + 6x) * (-6 + 7x) (7(-6 + 7x) + 6x * (-6 + 7x)) = 0 ((-6 * 7 + 7x * 7) + 6x * (-6 + 7x)) = 0 ((-42 + 49x) + 6x * (-6 + 7x)) = 0 (-42 + 49x + (-6 * 6x + 7x * 6x)) = 0 (-42 + 49x + (-36x + 42x2)) = 0 Combine like terms: 49x + -36x = 13x (-42 + 13x + 42x2) = 0 Solving -42 + 13x + 42x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -6x)(6 + -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 '(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 = {-1.166666667, 0.8571428571}
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