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Simplifying (7x + -6)(2x + 3) = 0 Reorder the terms: (-6 + 7x)(2x + 3) = 0 Reorder the terms: (-6 + 7x)(3 + 2x) = 0 Multiply (-6 + 7x) * (3 + 2x) (-6(3 + 2x) + 7x * (3 + 2x)) = 0 ((3 * -6 + 2x * -6) + 7x * (3 + 2x)) = 0 ((-18 + -12x) + 7x * (3 + 2x)) = 0 (-18 + -12x + (3 * 7x + 2x * 7x)) = 0 (-18 + -12x + (21x + 14x2)) = 0 Combine like terms: -12x + 21x = 9x (-18 + 9x + 14x2) = 0 Solving -18 + 9x + 14x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -2x)(6 + -7x) = 0Subproblem 1
Set the factor '(-3 + -2x)' equal to zero and attempt to solve: Simplifying -3 + -2x = 0 Solving -3 + -2x = 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 + -2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 0 + 3 -2x = 0 + 3 Combine like terms: 0 + 3 = 3 -2x = 3 Divide each side by '-2'. x = -1.5 Simplifying x = -1.5Subproblem 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 = {-1.5, 0.8571428571}
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