(2x-9v)(2x-9v)=

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Solution for (2x-9v)(2x-9v)= equation: 


Simplifying
(2x + -9v)(2x + -9v) = 0

Reorder the terms:
(-9v + 2x)(2x + -9v) = 0

Reorder the terms:
(-9v + 2x)(-9v + 2x) = 0

Multiply (-9v + 2x) * (-9v + 2x)
(-9v * (-9v + 2x) + 2x * (-9v + 2x)) = 0
((-9v * -9v + 2x * -9v) + 2x * (-9v + 2x)) = 0

Reorder the terms:
((-18vx + 81v2) + 2x * (-9v + 2x)) = 0
((-18vx + 81v2) + 2x * (-9v + 2x)) = 0
(-18vx + 81v2 + (-9v * 2x + 2x * 2x)) = 0
(-18vx + 81v2 + (-18vx + 4x2)) = 0

Reorder the terms:
(-18vx + -18vx + 81v2 + 4x2) = 0

Combine like terms: -18vx + -18vx = -36vx
(-36vx + 81v2 + 4x2) = 0

Solving
-36vx + 81v2 + 4x2 = 0

Solving for variable 'v'.

Factor a trinomial.
(9v + -2x)(9v + -2x) = 0


Subproblem 1
Set the factor '(9v + -2x)' equal to zero and attempt to solve:

Simplifying
9v + -2x = 0

Solving
9v + -2x = 0

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

Add '2x' to each side of the equation.
9v + -2x + 2x = 0 + 2x

Combine like terms: -2x + 2x = 0
9v + 0 = 0 + 2x
9v = 0 + 2x
Remove the zero:
9v = 2x

Divide each side by '9'.
v = 0.2222222222x

Simplifying
v = 0.2222222222x

Subproblem 2
Set the factor '(9v + -2x)' equal to zero and attempt to solve:

Simplifying
9v + -2x = 0

Solving
9v + -2x = 0

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

Add '2x' to each side of the equation.
9v + -2x + 2x = 0 + 2x

Combine like terms: -2x + 2x = 0
9v + 0 = 0 + 2x
9v = 0 + 2x
Remove the zero:
9v = 2x

Divide each side by '9'.
v = 0.2222222222x

Simplifying
v = 0.2222222222x
Solution
v = {0.2222222222x, 0.2222222222x}

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