(5xy+y)(5xy+y)=

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Solution for (5xy+y)(5xy+y)= equation: 


Simplifying
(5xy + y)(5xy + y) = 0

Multiply (5xy + y) * (5xy + y)
(5xy * (5xy + y) + y(5xy + y)) = 0
((5xy * 5xy + y * 5xy) + y(5xy + y)) = 0

Reorder the terms:
((5xy2 + 25x2y2) + y(5xy + y)) = 0
((5xy2 + 25x2y2) + y(5xy + y)) = 0
(5xy2 + 25x2y2 + (5xy * y + y * y)) = 0
(5xy2 + 25x2y2 + (5xy2 + y2)) = 0

Reorder the terms:
(5xy2 + 5xy2 + 25x2y2 + y2) = 0

Combine like terms: 5xy2 + 5xy2 = 10xy2
(10xy2 + 25x2y2 + y2) = 0

Solving
10xy2 + 25x2y2 + y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'y2'.
y2(10x + 25x2 + 1) = 0

Factor a trinomial.
y2((5x + 1)(5x + 1)) = 0


Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve:

Simplifying
y2 = 0

Solving
y2 = 0

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

Add '-1y2' to each side of the equation.
y2 + -1y2 = 0 + -1y2
Remove the zero:
0 = -1y2

Simplifying
0 = -1y2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(5x + 1)' equal to zero and attempt to solve:

Simplifying
5x + 1 = 0

Reorder the terms:
1 + 5x = 0

Solving
1 + 5x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 5x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5x = 0 + -1
5x = 0 + -1

Combine like terms: 0 + -1 = -1
5x = -1

Divide each side by '5'.
x = -0.2

Simplifying
x = -0.2

Subproblem 3
Set the factor '(5x + 1)' equal to zero and attempt to solve:

Simplifying
5x + 1 = 0

Reorder the terms:
1 + 5x = 0

Solving
1 + 5x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 5x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5x = 0 + -1
5x = 0 + -1

Combine like terms: 0 + -1 = -1
5x = -1

Divide each side by '5'.
x = -0.2

Simplifying
x = -0.2
Solution
x = {-0.2, -0.2}

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