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Simplifying (5x + -6)(2x + 3) = 0 Reorder the terms: (-6 + 5x)(2x + 3) = 0 Reorder the terms: (-6 + 5x)(3 + 2x) = 0 Multiply (-6 + 5x) * (3 + 2x) (-6(3 + 2x) + 5x * (3 + 2x)) = 0 ((3 * -6 + 2x * -6) + 5x * (3 + 2x)) = 0 ((-18 + -12x) + 5x * (3 + 2x)) = 0 (-18 + -12x + (3 * 5x + 2x * 5x)) = 0 (-18 + -12x + (15x + 10x2)) = 0 Combine like terms: -12x + 15x = 3x (-18 + 3x + 10x2) = 0 Solving -18 + 3x + 10x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -2x)(6 + -5x) = 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 + -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 = 1.2Solution
x = {-1.5, 1.2}
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