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Simplifying 2u2 + uv + -21u2 = 0 Reorder the terms: uv + 2u2 + -21u2 = 0 Combine like terms: 2u2 + -21u2 = -19u2 uv + -19u2 = 0 Solving uv + -19u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), 'u'. u(v + -19u) = 0Subproblem 1
Set the factor 'u' equal to zero and attempt to solve: Simplifying u = 0 Solving u = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u = 0Subproblem 2
Set the factor '(v + -19u)' equal to zero and attempt to solve: Simplifying v + -19u = 0 Reorder the terms: -19u + v = 0 Solving -19u + v = 0 Move all terms containing u to the left, all other terms to the right. Add '-1v' to each side of the equation. -19u + v + -1v = 0 + -1v Combine like terms: v + -1v = 0 -19u + 0 = 0 + -1v -19u = 0 + -1v Remove the zero: -19u = -1v Divide each side by '-19'. u = 0.05263157895v Simplifying u = 0.05263157895vSolution
u = {0, 0.05263157895v}
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