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Simplifying 49x2 + 42xu + 9u2 = 0 Reorder the terms: 42ux + 9u2 + 49x2 = 0 Solving 42ux + 9u2 + 49x2 = 0 Solving for variable 'u'. Factor a trinomial. (3u + 7x)(3u + 7x) = 0Subproblem 1
Set the factor '(3u + 7x)' equal to zero and attempt to solve: Simplifying 3u + 7x = 0 Solving 3u + 7x = 0 Move all terms containing u to the left, all other terms to the right. Add '-7x' to each side of the equation. 3u + 7x + -7x = 0 + -7x Combine like terms: 7x + -7x = 0 3u + 0 = 0 + -7x 3u = 0 + -7x Remove the zero: 3u = -7x Divide each side by '3'. u = -2.333333333x Simplifying u = -2.333333333xSubproblem 2
Set the factor '(3u + 7x)' equal to zero and attempt to solve: Simplifying 3u + 7x = 0 Solving 3u + 7x = 0 Move all terms containing u to the left, all other terms to the right. Add '-7x' to each side of the equation. 3u + 7x + -7x = 0 + -7x Combine like terms: 7x + -7x = 0 3u + 0 = 0 + -7x 3u = 0 + -7x Remove the zero: 3u = -7x Divide each side by '3'. u = -2.333333333x Simplifying u = -2.333333333xSolution
u = {-2.333333333x, -2.333333333x}
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