64x^2-80xy+25y^2=0

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Solution for 64x^2-80xy+25y^2=0 equation:


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

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

Solving
-80xy + 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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