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Simplifying (5x + 6)(2x + -9) = 0 Reorder the terms: (6 + 5x)(2x + -9) = 0 Reorder the terms: (6 + 5x)(-9 + 2x) = 0 Multiply (6 + 5x) * (-9 + 2x) (6(-9 + 2x) + 5x * (-9 + 2x)) = 0 ((-9 * 6 + 2x * 6) + 5x * (-9 + 2x)) = 0 ((-54 + 12x) + 5x * (-9 + 2x)) = 0 (-54 + 12x + (-9 * 5x + 2x * 5x)) = 0 (-54 + 12x + (-45x + 10x2)) = 0 Combine like terms: 12x + -45x = -33x (-54 + -33x + 10x2) = 0 Solving -54 + -33x + 10x2 = 0 Solving for variable 'x'. Factor a trinomial. (-6 + -5x)(9 + -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 '(9 + -2x)' equal to zero and attempt to solve: Simplifying 9 + -2x = 0 Solving 9 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 0 + -9 -2x = 0 + -9 Combine like terms: 0 + -9 = -9 -2x = -9 Divide each side by '-2'. x = 4.5 Simplifying x = 4.5Solution
x = {-1.2, 4.5}
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