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Simplifying (-3x + 5)(7x + -6) = 0 Reorder the terms: (5 + -3x)(7x + -6) = 0 Reorder the terms: (5 + -3x)(-6 + 7x) = 0 Multiply (5 + -3x) * (-6 + 7x) (5(-6 + 7x) + -3x * (-6 + 7x)) = 0 ((-6 * 5 + 7x * 5) + -3x * (-6 + 7x)) = 0 ((-30 + 35x) + -3x * (-6 + 7x)) = 0 (-30 + 35x + (-6 * -3x + 7x * -3x)) = 0 (-30 + 35x + (18x + -21x2)) = 0 Combine like terms: 35x + 18x = 53x (-30 + 53x + -21x2) = 0 Solving -30 + 53x + -21x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + 3x)(6 + -7x) = 0Subproblem 1
Set the factor '(-5 + 3x)' equal to zero and attempt to solve: Simplifying -5 + 3x = 0 Solving -5 + 3x = 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 + 3x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = 0 + 5 3x = 0 + 5 Combine like terms: 0 + 5 = 5 3x = 5 Divide each side by '3'. x = 1.666666667 Simplifying x = 1.666666667Subproblem 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 = {1.666666667, 0.8571428571}
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