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Simplifying (7x + -6)(5x + 6) = 0 Reorder the terms: (-6 + 7x)(5x + 6) = 0 Reorder the terms: (-6 + 7x)(6 + 5x) = 0 Multiply (-6 + 7x) * (6 + 5x) (-6(6 + 5x) + 7x * (6 + 5x)) = 0 ((6 * -6 + 5x * -6) + 7x * (6 + 5x)) = 0 ((-36 + -30x) + 7x * (6 + 5x)) = 0 (-36 + -30x + (6 * 7x + 5x * 7x)) = 0 (-36 + -30x + (42x + 35x2)) = 0 Combine like terms: -30x + 42x = 12x (-36 + 12x + 35x2) = 0 Solving -36 + 12x + 35x2 = 0 Solving for variable 'x'. Factor a trinomial. (-6 + -5x)(6 + -7x) = 0Subproblem 1
Set the factor '(-6 + -5x)' equal to zero and attempt to solve: Simplifying -6 + -5x = 0 Solving -6 + -5x = 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 + -5x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = 0 + 6 -5x = 0 + 6 Combine like terms: 0 + 6 = 6 -5x = 6 Divide each side by '-5'. x = -1.2 Simplifying x = -1.2Subproblem 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 = {-1.2, 0.8571428571}
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