(10x+y)*(10x+y)=

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Solution for (10x+y)*(10x+y)= equation: 


Simplifying
(10x + y)(10x + y) = 0

Multiply (10x + y) * (10x + y)
(10x * (10x + y) + y(10x + y)) = 0
((10x * 10x + y * 10x) + y(10x + y)) = 0

Reorder the terms:
((10xy + 100x2) + y(10x + y)) = 0
((10xy + 100x2) + y(10x + y)) = 0
(10xy + 100x2 + (10x * y + y * y)) = 0
(10xy + 100x2 + (10xy + y2)) = 0

Reorder the terms:
(10xy + 10xy + 100x2 + y2) = 0

Combine like terms: 10xy + 10xy = 20xy
(20xy + 100x2 + y2) = 0

Solving
20xy + 100x2 + y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(10x + y)(10x + y) = 0


Subproblem 1
Set the factor '(10x + y)' equal to zero and attempt to solve:

Simplifying
10x + y = 0

Solving
10x + y = 0

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

Add '-1y' to each side of the equation.
10x + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
10x + 0 = 0 + -1y
10x = 0 + -1y
Remove the zero:
10x = -1y

Divide each side by '10'.
x = -0.1y

Simplifying
x = -0.1y

Subproblem 2
Set the factor '(10x + y)' equal to zero and attempt to solve:

Simplifying
10x + y = 0

Solving
10x + y = 0

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

Add '-1y' to each side of the equation.
10x + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
10x + 0 = 0 + -1y
10x = 0 + -1y
Remove the zero:
10x = -1y

Divide each side by '10'.
x = -0.1y

Simplifying
x = -0.1y
Solution
x = {-0.1y, -0.1y}

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