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Simplifying (-9x + 2)(4x + -9) = 0 Reorder the terms: (2 + -9x)(4x + -9) = 0 Reorder the terms: (2 + -9x)(-9 + 4x) = 0 Multiply (2 + -9x) * (-9 + 4x) (2(-9 + 4x) + -9x * (-9 + 4x)) = 0 ((-9 * 2 + 4x * 2) + -9x * (-9 + 4x)) = 0 ((-18 + 8x) + -9x * (-9 + 4x)) = 0 (-18 + 8x + (-9 * -9x + 4x * -9x)) = 0 (-18 + 8x + (81x + -36x2)) = 0 Combine like terms: 8x + 81x = 89x (-18 + 89x + -36x2) = 0 Solving -18 + 89x + -36x2 = 0 Solving for variable 'x'. Factor a trinomial. (-9 + 4x)(2 + -9x) = 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 + -9x)' equal to zero and attempt to solve: Simplifying 2 + -9x = 0 Solving 2 + -9x = 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 + -9x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -9x = 0 + -2 -9x = 0 + -2 Combine like terms: 0 + -2 = -2 -9x = -2 Divide each side by '-9'. x = 0.2222222222 Simplifying x = 0.2222222222Solution
x = {2.25, 0.2222222222}
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