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Simplifying (-5x + 6)(3x + 7) = 0 Reorder the terms: (6 + -5x)(3x + 7) = 0 Reorder the terms: (6 + -5x)(7 + 3x) = 0 Multiply (6 + -5x) * (7 + 3x) (6(7 + 3x) + -5x * (7 + 3x)) = 0 ((7 * 6 + 3x * 6) + -5x * (7 + 3x)) = 0 ((42 + 18x) + -5x * (7 + 3x)) = 0 (42 + 18x + (7 * -5x + 3x * -5x)) = 0 (42 + 18x + (-35x + -15x2)) = 0 Combine like terms: 18x + -35x = -17x (42 + -17x + -15x2) = 0 Solving 42 + -17x + -15x2 = 0 Solving for variable 'x'. Factor a trinomial. (6 + -5x)(7 + 3x) = 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 '(7 + 3x)' equal to zero and attempt to solve: Simplifying 7 + 3x = 0 Solving 7 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 0 + -7 3x = 0 + -7 Combine like terms: 0 + -7 = -7 3x = -7 Divide each side by '3'. x = -2.333333333 Simplifying x = -2.333333333Solution
x = {1.2, -2.333333333}
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