(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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