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Simplifying (5x + -1)(7x + 6) = 0 Reorder the terms: (-1 + 5x)(7x + 6) = 0 Reorder the terms: (-1 + 5x)(6 + 7x) = 0 Multiply (-1 + 5x) * (6 + 7x) (-1(6 + 7x) + 5x * (6 + 7x)) = 0 ((6 * -1 + 7x * -1) + 5x * (6 + 7x)) = 0 ((-6 + -7x) + 5x * (6 + 7x)) = 0 (-6 + -7x + (6 * 5x + 7x * 5x)) = 0 (-6 + -7x + (30x + 35x2)) = 0 Combine like terms: -7x + 30x = 23x (-6 + 23x + 35x2) = 0 Solving -6 + 23x + 35x2 = 0 Solving for variable 'x'. Factor a trinomial. (-6 + -7x)(1 + -5x) = 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 '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2Solution
x = {-0.8571428571, 0.2}
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