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Simplifying (6x + -5)(7x + 5) = 0 Reorder the terms: (-5 + 6x)(7x + 5) = 0 Reorder the terms: (-5 + 6x)(5 + 7x) = 0 Multiply (-5 + 6x) * (5 + 7x) (-5(5 + 7x) + 6x * (5 + 7x)) = 0 ((5 * -5 + 7x * -5) + 6x * (5 + 7x)) = 0 ((-25 + -35x) + 6x * (5 + 7x)) = 0 (-25 + -35x + (5 * 6x + 7x * 6x)) = 0 (-25 + -35x + (30x + 42x2)) = 0 Combine like terms: -35x + 30x = -5x (-25 + -5x + 42x2) = 0 Solving -25 + -5x + 42x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -7x)(5 + -6x) = 0Subproblem 1
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 = -0.7142857143Subproblem 2
Set the factor '(5 + -6x)' equal to zero and attempt to solve: Simplifying 5 + -6x = 0 Solving 5 + -6x = 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 + -6x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6x = 0 + -5 -6x = 0 + -5 Combine like terms: 0 + -5 = -5 -6x = -5 Divide each side by '-6'. x = 0.8333333333 Simplifying x = 0.8333333333Solution
x = {-0.7142857143, 0.8333333333}
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