2u^2v-18uv+28v=0

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Solution for 2u^2v-18uv+28v=0 equation:


Simplifying
2u2v + -18uv + 28v = 0

Reorder the terms:
-18uv + 2u2v + 28v = 0

Solving
-18uv + 2u2v + 28v = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '2v'.
2v(-9u + u2 + 14) = 0

Factor a trinomial.
2v((u + -7)(u + -2)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'v' equal to zero and attempt to solve: Simplifying v = 0 Solving v = 0 Move all terms containing u to the left, all other terms to the right. Add '-1v' to each side of the equation. v + -1v = 0 + -1v Remove the zero: 0 = -1v Simplifying 0 = -1v The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(u + -7)' equal to zero and attempt to solve: Simplifying u + -7 = 0 Reorder the terms: -7 + u = 0 Solving -7 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + u = 0 + 7 Combine like terms: -7 + 7 = 0 0 + u = 0 + 7 u = 0 + 7 Combine like terms: 0 + 7 = 7 u = 7 Simplifying u = 7

Subproblem 3

Set the factor '(u + -2)' equal to zero and attempt to solve: Simplifying u + -2 = 0 Reorder the terms: -2 + u = 0 Solving -2 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + u = 0 + 2 Combine like terms: -2 + 2 = 0 0 + u = 0 + 2 u = 0 + 2 Combine like terms: 0 + 2 = 2 u = 2 Simplifying u = 2

Solution

u = {7, 2}

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