(4x-5y)(4x-5y)=

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Solution for (4x-5y)(4x-5y)= equation: 


Simplifying
(4x + -5y)(4x + -5y) = 0

Multiply (4x + -5y) * (4x + -5y)
(4x * (4x + -5y) + -5y * (4x + -5y)) = 0
((4x * 4x + -5y * 4x) + -5y * (4x + -5y)) = 0

Reorder the terms:
((-20xy + 16x2) + -5y * (4x + -5y)) = 0
((-20xy + 16x2) + -5y * (4x + -5y)) = 0
(-20xy + 16x2 + (4x * -5y + -5y * -5y)) = 0
(-20xy + 16x2 + (-20xy + 25y2)) = 0

Reorder the terms:
(-20xy + -20xy + 16x2 + 25y2) = 0

Combine like terms: -20xy + -20xy = -40xy
(-40xy + 16x2 + 25y2) = 0

Solving
-40xy + 16x2 + 25y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4x + -5y)(4x + -5y) = 0


Subproblem 1
Set the factor '(4x + -5y)' equal to zero and attempt to solve:

Simplifying
4x + -5y = 0

Solving
4x + -5y = 0

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

Add '5y' to each side of the equation.
4x + -5y + 5y = 0 + 5y

Combine like terms: -5y + 5y = 0
4x + 0 = 0 + 5y
4x = 0 + 5y
Remove the zero:
4x = 5y

Divide each side by '4'.
x = 1.25y

Simplifying
x = 1.25y

Subproblem 2
Set the factor '(4x + -5y)' equal to zero and attempt to solve:

Simplifying
4x + -5y = 0

Solving
4x + -5y = 0

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

Add '5y' to each side of the equation.
4x + -5y + 5y = 0 + 5y

Combine like terms: -5y + 5y = 0
4x + 0 = 0 + 5y
4x = 0 + 5y
Remove the zero:
4x = 5y

Divide each side by '4'.
x = 1.25y

Simplifying
x = 1.25y
Solution
x = {1.25y, 1.25y}

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