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Simplifying 36u2 + 84uv + 49v2 = 0 Reorder the terms: 84uv + 36u2 + 49v2 = 0 Solving 84uv + 36u2 + 49v2 = 0 Solving for variable 'u'. Factor a trinomial. (6u + 7v)(6u + 7v) = 0Subproblem 1
Set the factor '(6u + 7v)' equal to zero and attempt to solve: Simplifying 6u + 7v = 0 Solving 6u + 7v = 0 Move all terms containing u to the left, all other terms to the right. Add '-7v' to each side of the equation. 6u + 7v + -7v = 0 + -7v Combine like terms: 7v + -7v = 0 6u + 0 = 0 + -7v 6u = 0 + -7v Remove the zero: 6u = -7v Divide each side by '6'. u = -1.166666667v Simplifying u = -1.166666667vSubproblem 2
Set the factor '(6u + 7v)' equal to zero and attempt to solve: Simplifying 6u + 7v = 0 Solving 6u + 7v = 0 Move all terms containing u to the left, all other terms to the right. Add '-7v' to each side of the equation. 6u + 7v + -7v = 0 + -7v Combine like terms: 7v + -7v = 0 6u + 0 = 0 + -7v 6u = 0 + -7v Remove the zero: 6u = -7v Divide each side by '6'. u = -1.166666667v Simplifying u = -1.166666667vSolution
u = {-1.166666667v, -1.166666667v}
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