(13x+5y)(13x-5y)=

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Solution for (13x+5y)(13x-5y)= equation: 


Simplifying
(13x + 5y)(13x + -5y) = 0

Multiply (13x + 5y) * (13x + -5y)
(13x * (13x + -5y) + 5y * (13x + -5y)) = 0
((13x * 13x + -5y * 13x) + 5y * (13x + -5y)) = 0

Reorder the terms:
((-65xy + 169x2) + 5y * (13x + -5y)) = 0
((-65xy + 169x2) + 5y * (13x + -5y)) = 0
(-65xy + 169x2 + (13x * 5y + -5y * 5y)) = 0
(-65xy + 169x2 + (65xy + -25y2)) = 0

Reorder the terms:
(-65xy + 65xy + 169x2 + -25y2) = 0

Combine like terms: -65xy + 65xy = 0
(0 + 169x2 + -25y2) = 0
(169x2 + -25y2) = 0

Solving
169x2 + -25y2 = 0

Solving for variable 'x'.

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

Add '25y2' to each side of the equation.
169x2 + -25y2 + 25y2 = 0 + 25y2

Combine like terms: -25y2 + 25y2 = 0
169x2 + 0 = 0 + 25y2
169x2 = 0 + 25y2
Remove the zero:
169x2 = 25y2

Divide each side by '169'.
x2 = 0.1479289941y2

Simplifying
x2 = 0.1479289941y2

Take the square root of each side:
x = {-0.384615385y, 0.384615385y}

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