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