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Simplifying (-5x + 3)(7x + -6) = 0 Reorder the terms: (3 + -5x)(7x + -6) = 0 Reorder the terms: (3 + -5x)(-6 + 7x) = 0 Multiply (3 + -5x) * (-6 + 7x) (3(-6 + 7x) + -5x * (-6 + 7x)) = 0 ((-6 * 3 + 7x * 3) + -5x * (-6 + 7x)) = 0 ((-18 + 21x) + -5x * (-6 + 7x)) = 0 (-18 + 21x + (-6 * -5x + 7x * -5x)) = 0 (-18 + 21x + (30x + -35x2)) = 0 Combine like terms: 21x + 30x = 51x (-18 + 51x + -35x2) = 0 Solving -18 + 51x + -35x2 = 0 Solving for variable 'x'. Factor a trinomial. (-6 + 7x)(3 + -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 '(3 + -5x)' equal to zero and attempt to solve: Simplifying 3 + -5x = 0 Solving 3 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 0 + -3 -5x = 0 + -3 Combine like terms: 0 + -3 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6Solution
x = {0.8571428571, 0.6}
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