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Simplifying (9x + 4)(4x + -9) = 0 Reorder the terms: (4 + 9x)(4x + -9) = 0 Reorder the terms: (4 + 9x)(-9 + 4x) = 0 Multiply (4 + 9x) * (-9 + 4x) (4(-9 + 4x) + 9x * (-9 + 4x)) = 0 ((-9 * 4 + 4x * 4) + 9x * (-9 + 4x)) = 0 ((-36 + 16x) + 9x * (-9 + 4x)) = 0 (-36 + 16x + (-9 * 9x + 4x * 9x)) = 0 (-36 + 16x + (-81x + 36x2)) = 0 Combine like terms: 16x + -81x = -65x (-36 + -65x + 36x2) = 0 Solving -36 + -65x + 36x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -9x)(9 + -4x) = 0Subproblem 1
Set the factor '(-4 + -9x)' equal to zero and attempt to solve: Simplifying -4 + -9x = 0 Solving -4 + -9x = 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 + -9x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -9x = 0 + 4 -9x = 0 + 4 Combine like terms: 0 + 4 = 4 -9x = 4 Divide each side by '-9'. x = -0.4444444444 Simplifying x = -0.4444444444Subproblem 2
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 = 2.25Solution
x = {-0.4444444444, 2.25}
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