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Simplifying 5u2 + -27uv + -56v2 = 0 Reorder the terms: -27uv + 5u2 + -56v2 = 0 Solving -27uv + 5u2 + -56v2 = 0 Solving for variable 'u'. Factor a trinomial. (u + -7v)(5u + 8v) = 0Subproblem 1
Set the factor '(u + -7v)' equal to zero and attempt to solve: Simplifying u + -7v = 0 Solving u + -7v = 0 Move all terms containing u to the left, all other terms to the right. Add '7v' to each side of the equation. u + -7v + 7v = 0 + 7v Combine like terms: -7v + 7v = 0 u + 0 = 0 + 7v u = 0 + 7v Remove the zero: u = 7v Simplifying u = 7vSubproblem 2
Set the factor '(5u + 8v)' equal to zero and attempt to solve: Simplifying 5u + 8v = 0 Solving 5u + 8v = 0 Move all terms containing u to the left, all other terms to the right. Add '-8v' to each side of the equation. 5u + 8v + -8v = 0 + -8v Combine like terms: 8v + -8v = 0 5u + 0 = 0 + -8v 5u = 0 + -8v Remove the zero: 5u = -8v Divide each side by '5'. u = -1.6v Simplifying u = -1.6vSolution
u = {7v, -1.6v}
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