64x^2-80x+25y^2=

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Solution for 64x^2-80x+25y^2= equation: 


Simplifying
64x2 + -80x + 25y2 = 0

Reorder the terms:
-80x + 64x2 + 25y2 = 0

Solving
-80x + 64x2 + 25y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(8x + -5y)(8x + -5y) = 0


Subproblem 1
Set the factor '(8x + -5y)' equal to zero and attempt to solve:

Simplifying
8x + -5y = 0

Solving
8x + -5y = 0

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

Add '5y' to each side of the equation.
8x + -5y + 5y = 0 + 5y

Combine like terms: -5y + 5y = 0
8x + 0 = 0 + 5y
8x = 0 + 5y
Remove the zero:
8x = 5y

Divide each side by '8'.
x = 0.625y

Simplifying
x = 0.625y

Subproblem 2
Set the factor '(8x + -5y)' equal to zero and attempt to solve:

Simplifying
8x + -5y = 0

Solving
8x + -5y = 0

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

Add '5y' to each side of the equation.
8x + -5y + 5y = 0 + 5y

Combine like terms: -5y + 5y = 0
8x + 0 = 0 + 5y
8x = 0 + 5y
Remove the zero:
8x = 5y

Divide each side by '8'.
x = 0.625y

Simplifying
x = 0.625y
Solution
x = {0.625y, 0.625y}

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