(6v-3u+2)(7v+4)=0

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Solution for (6v-3u+2)(7v+4)=0 equation: 


Simplifying
(6v + -3u + 2)(7v + 4) = 0

Reorder the terms:
(2 + -3u + 6v)(7v + 4) = 0

Reorder the terms:
(2 + -3u + 6v)(4 + 7v) = 0

Multiply (2 + -3u + 6v) * (4 + 7v)
(2(4 + 7v) + -3u * (4 + 7v) + 6v * (4 + 7v)) = 0
((4 * 2 + 7v * 2) + -3u * (4 + 7v) + 6v * (4 + 7v)) = 0
((8 + 14v) + -3u * (4 + 7v) + 6v * (4 + 7v)) = 0
(8 + 14v + (4 * -3u + 7v * -3u) + 6v * (4 + 7v)) = 0
(8 + 14v + (-12u + -21uv) + 6v * (4 + 7v)) = 0
(8 + 14v + -12u + -21uv + (4 * 6v + 7v * 6v)) = 0
(8 + 14v + -12u + -21uv + (24v + 42v2)) = 0

Reorder the terms:
(8 + -12u + -21uv + 14v + 24v + 42v2) = 0

Combine like terms: 14v + 24v = 38v
(8 + -12u + -21uv + 38v + 42v2) = 0

Solving
8 + -12u + -21uv + 38v + 42v2 = 0

Solving for variable 'u'.

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

Add '-8' to each side of the equation.
8 + -12u + -21uv + 38v + -8 + 42v2 = 0 + -8

Reorder the terms:
8 + -8 + -12u + -21uv + 38v + 42v2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -12u + -21uv + 38v + 42v2 = 0 + -8
-12u + -21uv + 38v + 42v2 = 0 + -8

Combine like terms: 0 + -8 = -8
-12u + -21uv + 38v + 42v2 = -8

Add '-38v' to each side of the equation.
-12u + -21uv + 38v + -38v + 42v2 = -8 + -38v

Combine like terms: 38v + -38v = 0
-12u + -21uv + 0 + 42v2 = -8 + -38v
-12u + -21uv + 42v2 = -8 + -38v

Add '-42v2' to each side of the equation.
-12u + -21uv + 42v2 + -42v2 = -8 + -38v + -42v2

Combine like terms: 42v2 + -42v2 = 0
-12u + -21uv + 0 = -8 + -38v + -42v2
-12u + -21uv = -8 + -38v + -42v2

Reorder the terms:
8 + -12u + -21uv + 38v + 42v2 = -8 + -38v + -42v2 + 8 + 38v + 42v2

Reorder the terms:
8 + -12u + -21uv + 38v + 42v2 = -8 + 8 + -38v + 38v + -42v2 + 42v2

Combine like terms: -8 + 8 = 0
8 + -12u + -21uv + 38v + 42v2 = 0 + -38v + 38v + -42v2 + 42v2
8 + -12u + -21uv + 38v + 42v2 = -38v + 38v + -42v2 + 42v2

Combine like terms: -38v + 38v = 0
8 + -12u + -21uv + 38v + 42v2 = 0 + -42v2 + 42v2
8 + -12u + -21uv + 38v + 42v2 = -42v2 + 42v2

Combine like terms: -42v2 + 42v2 = 0
8 + -12u + -21uv + 38v + 42v2 = 0

The solution to this equation could not be determined.

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