(5y-6v)(5y-6v)=0

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Solution for (5y-6v)(5y-6v)=0 equation: 


Simplifying
(5y + -6v)(5y + -6v) = 0

Reorder the terms:
(-6v + 5y)(5y + -6v) = 0

Reorder the terms:
(-6v + 5y)(-6v + 5y) = 0

Multiply (-6v + 5y) * (-6v + 5y)
(-6v * (-6v + 5y) + 5y * (-6v + 5y)) = 0
((-6v * -6v + 5y * -6v) + 5y * (-6v + 5y)) = 0

Reorder the terms:
((-30vy + 36v2) + 5y * (-6v + 5y)) = 0
((-30vy + 36v2) + 5y * (-6v + 5y)) = 0
(-30vy + 36v2 + (-6v * 5y + 5y * 5y)) = 0
(-30vy + 36v2 + (-30vy + 25y2)) = 0

Reorder the terms:
(-30vy + -30vy + 36v2 + 25y2) = 0

Combine like terms: -30vy + -30vy = -60vy
(-60vy + 36v2 + 25y2) = 0

Solving
-60vy + 36v2 + 25y2 = 0

Solving for variable 'v'.

Factor a trinomial.
(6v + -5y)(6v + -5y) = 0


Subproblem 1
Set the factor '(6v + -5y)' equal to zero and attempt to solve:

Simplifying
6v + -5y = 0

Solving
6v + -5y = 0

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

Add '5y' to each side of the equation.
6v + -5y + 5y = 0 + 5y

Combine like terms: -5y + 5y = 0
6v + 0 = 0 + 5y
6v = 0 + 5y
Remove the zero:
6v = 5y

Divide each side by '6'.
v = 0.8333333333y

Simplifying
v = 0.8333333333y

Subproblem 2
Set the factor '(6v + -5y)' equal to zero and attempt to solve:

Simplifying
6v + -5y = 0

Solving
6v + -5y = 0

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

Add '5y' to each side of the equation.
6v + -5y + 5y = 0 + 5y

Combine like terms: -5y + 5y = 0
6v + 0 = 0 + 5y
6v = 0 + 5y
Remove the zero:
6v = 5y

Divide each side by '6'.
v = 0.8333333333y

Simplifying
v = 0.8333333333y
Solution
v = {0.8333333333y, 0.8333333333y}

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