(3y-5v+1)(2y+7)=

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Solution for (3y-5v+1)(2y+7)= equation: 


Simplifying
(3y + -5v + 1)(2y + 7) = 0

Reorder the terms:
(1 + -5v + 3y)(2y + 7) = 0

Reorder the terms:
(1 + -5v + 3y)(7 + 2y) = 0

Multiply (1 + -5v + 3y) * (7 + 2y)
(1(7 + 2y) + -5v * (7 + 2y) + 3y * (7 + 2y)) = 0
((7 * 1 + 2y * 1) + -5v * (7 + 2y) + 3y * (7 + 2y)) = 0
((7 + 2y) + -5v * (7 + 2y) + 3y * (7 + 2y)) = 0
(7 + 2y + (7 * -5v + 2y * -5v) + 3y * (7 + 2y)) = 0
(7 + 2y + (-35v + -10vy) + 3y * (7 + 2y)) = 0
(7 + 2y + -35v + -10vy + (7 * 3y + 2y * 3y)) = 0
(7 + 2y + -35v + -10vy + (21y + 6y2)) = 0

Reorder the terms:
(7 + -35v + -10vy + 2y + 21y + 6y2) = 0

Combine like terms: 2y + 21y = 23y
(7 + -35v + -10vy + 23y + 6y2) = 0

Solving
7 + -35v + -10vy + 23y + 6y2 = 0

Solving for variable 'v'.

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

Add '-7' to each side of the equation.
7 + -35v + -10vy + 23y + -7 + 6y2 = 0 + -7

Reorder the terms:
7 + -7 + -35v + -10vy + 23y + 6y2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -35v + -10vy + 23y + 6y2 = 0 + -7
-35v + -10vy + 23y + 6y2 = 0 + -7

Combine like terms: 0 + -7 = -7
-35v + -10vy + 23y + 6y2 = -7

Add '-23y' to each side of the equation.
-35v + -10vy + 23y + -23y + 6y2 = -7 + -23y

Combine like terms: 23y + -23y = 0
-35v + -10vy + 0 + 6y2 = -7 + -23y
-35v + -10vy + 6y2 = -7 + -23y

Add '-6y2' to each side of the equation.
-35v + -10vy + 6y2 + -6y2 = -7 + -23y + -6y2

Combine like terms: 6y2 + -6y2 = 0
-35v + -10vy + 0 = -7 + -23y + -6y2
-35v + -10vy = -7 + -23y + -6y2

Reorder the terms:
7 + -35v + -10vy + 23y + 6y2 = -7 + -23y + -6y2 + 7 + 23y + 6y2

Reorder the terms:
7 + -35v + -10vy + 23y + 6y2 = -7 + 7 + -23y + 23y + -6y2 + 6y2

Combine like terms: -7 + 7 = 0
7 + -35v + -10vy + 23y + 6y2 = 0 + -23y + 23y + -6y2 + 6y2
7 + -35v + -10vy + 23y + 6y2 = -23y + 23y + -6y2 + 6y2

Combine like terms: -23y + 23y = 0
7 + -35v + -10vy + 23y + 6y2 = 0 + -6y2 + 6y2
7 + -35v + -10vy + 23y + 6y2 = -6y2 + 6y2

Combine like terms: -6y2 + 6y2 = 0
7 + -35v + -10vy + 23y + 6y2 = 0

The solution to this equation could not be determined.

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