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Simplifying (4x + 9)(5x + -2) = 0 Reorder the terms: (9 + 4x)(5x + -2) = 0 Reorder the terms: (9 + 4x)(-2 + 5x) = 0 Multiply (9 + 4x) * (-2 + 5x) (9(-2 + 5x) + 4x * (-2 + 5x)) = 0 ((-2 * 9 + 5x * 9) + 4x * (-2 + 5x)) = 0 ((-18 + 45x) + 4x * (-2 + 5x)) = 0 (-18 + 45x + (-2 * 4x + 5x * 4x)) = 0 (-18 + 45x + (-8x + 20x2)) = 0 Combine like terms: 45x + -8x = 37x (-18 + 37x + 20x2) = 0 Solving -18 + 37x + 20x2 = 0 Solving for variable 'x'. Factor a trinomial. (-9 + -4x)(2 + -5x) = 0Subproblem 1
Set the factor '(-9 + -4x)' equal to zero and attempt to solve: Simplifying -9 + -4x = 0 Solving -9 + -4x = 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 + -4x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -4x = 0 + 9 -4x = 0 + 9 Combine like terms: 0 + 9 = 9 -4x = 9 Divide each side by '-4'. x = -2.25 Simplifying x = -2.25Subproblem 2
Set the factor '(2 + -5x)' equal to zero and attempt to solve: Simplifying 2 + -5x = 0 Solving 2 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 0 + -2 -5x = 0 + -2 Combine like terms: 0 + -2 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4Solution
x = {-2.25, 0.4}
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