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Simplifying (3x + 4)(5x + -6) = 0 Reorder the terms: (4 + 3x)(5x + -6) = 0 Reorder the terms: (4 + 3x)(-6 + 5x) = 0 Multiply (4 + 3x) * (-6 + 5x) (4(-6 + 5x) + 3x * (-6 + 5x)) = 0 ((-6 * 4 + 5x * 4) + 3x * (-6 + 5x)) = 0 ((-24 + 20x) + 3x * (-6 + 5x)) = 0 (-24 + 20x + (-6 * 3x + 5x * 3x)) = 0 (-24 + 20x + (-18x + 15x2)) = 0 Combine like terms: 20x + -18x = 2x (-24 + 2x + 15x2) = 0 Solving -24 + 2x + 15x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -3x)(6 + -5x) = 0Subproblem 1
Set the factor '(-4 + -3x)' equal to zero and attempt to solve: Simplifying -4 + -3x = 0 Solving -4 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 0 + 4 -3x = 0 + 4 Combine like terms: 0 + 4 = 4 -3x = 4 Divide each side by '-3'. x = -1.333333333 Simplifying x = -1.333333333Subproblem 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 = {-1.333333333, 1.2}
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