(u+2v-5)(3u+7V)=0

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Solution for (u+2v-5)(3u+7V)=0 equation:


Simplifying
(u + 2v + -5)(3u + 7V) = 0

Reorder the terms:
(-5 + u + 2v)(3u + 7V) = 0

Reorder the terms:
(-5 + u + 2v)(7V + 3u) = 0

Multiply (-5 + u + 2v) * (7V + 3u)
(-5(7V + 3u) + u(7V + 3u) + 2v * (7V + 3u)) = 0
((7V * -5 + 3u * -5) + u(7V + 3u) + 2v * (7V + 3u)) = 0
((-35V + -15u) + u(7V + 3u) + 2v * (7V + 3u)) = 0
(-35V + -15u + (7V * u + 3u * u) + 2v * (7V + 3u)) = 0
(-35V + -15u + (7uV + 3u2) + 2v * (7V + 3u)) = 0
(-35V + -15u + 7uV + 3u2 + (7V * 2v + 3u * 2v)) = 0

Reorder the terms:
(-35V + -15u + 7uV + 3u2 + (6uv + 14vV)) = 0
(-35V + -15u + 7uV + 3u2 + (6uv + 14vV)) = 0

Reorder the terms:
(-35V + -15u + 7uV + 6uv + 3u2 + 14vV) = 0
(-35V + -15u + 7uV + 6uv + 3u2 + 14vV) = 0

Solving
-35V + -15u + 7uV + 6uv + 3u2 + 14vV = 0

Solving for variable 'V'.

Move all terms containing V to the left, all other terms to the right.

Add '15u' to each side of the equation.
-35V + -15u + 7uV + 6uv + 3u2 + 15u + 14vV = 0 + 15u

Reorder the terms:
-35V + -15u + 15u + 7uV + 6uv + 3u2 + 14vV = 0 + 15u

Combine like terms: -15u + 15u = 0
-35V + 0 + 7uV + 6uv + 3u2 + 14vV = 0 + 15u
-35V + 7uV + 6uv + 3u2 + 14vV = 0 + 15u
Remove the zero:
-35V + 7uV + 6uv + 3u2 + 14vV = 15u

Add '-6uv' to each side of the equation.
-35V + 7uV + 6uv + 3u2 + -6uv + 14vV = 15u + -6uv

Reorder the terms:
-35V + 7uV + 6uv + -6uv + 3u2 + 14vV = 15u + -6uv

Combine like terms: 6uv + -6uv = 0
-35V + 7uV + 0 + 3u2 + 14vV = 15u + -6uv
-35V + 7uV + 3u2 + 14vV = 15u + -6uv

Add '-3u2' to each side of the equation.
-35V + 7uV + 3u2 + -3u2 + 14vV = 15u + -6uv + -3u2

Combine like terms: 3u2 + -3u2 = 0
-35V + 7uV + 0 + 14vV = 15u + -6uv + -3u2
-35V + 7uV + 14vV = 15u + -6uv + -3u2

Reorder the terms:
-35V + -15u + 7uV + 6uv + 3u2 + 14vV = 15u + -6uv + -3u2 + -15u + 6uv + 3u2

Reorder the terms:
-35V + -15u + 7uV + 6uv + 3u2 + 14vV = 15u + -15u + -6uv + 6uv + -3u2 + 3u2

Combine like terms: 15u + -15u = 0
-35V + -15u + 7uV + 6uv + 3u2 + 14vV = 0 + -6uv + 6uv + -3u2 + 3u2
-35V + -15u + 7uV + 6uv + 3u2 + 14vV = -6uv + 6uv + -3u2 + 3u2

Combine like terms: -6uv + 6uv = 0
-35V + -15u + 7uV + 6uv + 3u2 + 14vV = 0 + -3u2 + 3u2
-35V + -15u + 7uV + 6uv + 3u2 + 14vV = -3u2 + 3u2

Combine like terms: -3u2 + 3u2 = 0
-35V + -15u + 7uV + 6uv + 3u2 + 14vV = 0

The solution to this equation could not be determined.

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