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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. (-6 + -7x)(7 + -6x) = 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 '(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 = {-0.8571428571, 1.166666667}
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