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Simplifying 9u2 + -48ux + 64x2 = 0 Reorder the terms: -48ux + 9u2 + 64x2 = 0 Solving -48ux + 9u2 + 64x2 = 0 Solving for variable 'u'. Factor a trinomial. (3u + -8x)(3u + -8x) = 0Subproblem 1
Set the factor '(3u + -8x)' equal to zero and attempt to solve: Simplifying 3u + -8x = 0 Solving 3u + -8x = 0 Move all terms containing u to the left, all other terms to the right. Add '8x' to each side of the equation. 3u + -8x + 8x = 0 + 8x Combine like terms: -8x + 8x = 0 3u + 0 = 0 + 8x 3u = 0 + 8x Remove the zero: 3u = 8x Divide each side by '3'. u = 2.666666667x Simplifying u = 2.666666667xSubproblem 2
Set the factor '(3u + -8x)' equal to zero and attempt to solve: Simplifying 3u + -8x = 0 Solving 3u + -8x = 0 Move all terms containing u to the left, all other terms to the right. Add '8x' to each side of the equation. 3u + -8x + 8x = 0 + 8x Combine like terms: -8x + 8x = 0 3u + 0 = 0 + 8x 3u = 0 + 8x Remove the zero: 3u = 8x Divide each side by '3'. u = 2.666666667x Simplifying u = 2.666666667xSolution
u = {2.666666667x, 2.666666667x}
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