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Simplifying (4x + 3)(5x + -6) = 0 Reorder the terms: (3 + 4x)(5x + -6) = 0 Reorder the terms: (3 + 4x)(-6 + 5x) = 0 Multiply (3 + 4x) * (-6 + 5x) (3(-6 + 5x) + 4x * (-6 + 5x)) = 0 ((-6 * 3 + 5x * 3) + 4x * (-6 + 5x)) = 0 ((-18 + 15x) + 4x * (-6 + 5x)) = 0 (-18 + 15x + (-6 * 4x + 5x * 4x)) = 0 (-18 + 15x + (-24x + 20x2)) = 0 Combine like terms: 15x + -24x = -9x (-18 + -9x + 20x2) = 0 Solving -18 + -9x + 20x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -4x)(6 + -5x) = 0Subproblem 1
Set the factor '(-3 + -4x)' equal to zero and attempt to solve: Simplifying -3 + -4x = 0 Solving -3 + -4x = 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 + -4x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = 0 + 3 -4x = 0 + 3 Combine like terms: 0 + 3 = 3 -4x = 3 Divide each side by '-4'. x = -0.75 Simplifying x = -0.75Subproblem 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 = {-0.75, 1.2}
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