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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 = -27x (18 + -27x + 10x2) = 0 Solving 18 + -27x + 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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