25x^2-4y^2+160y-800=0

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Solution for 25x^2-4y^2+160y-800=0 equation: 


Simplifying
25x2 + -4y2 + 160y + -800 = 0

Reorder the terms:
-800 + 25x2 + 160y + -4y2 = 0

Solving
-800 + 25x2 + 160y + -4y2 = 0

Solving for variable 'x'.

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

Add '800' to each side of the equation.
-800 + 25x2 + 160y + 800 + -4y2 = 0 + 800

Reorder the terms:
-800 + 800 + 25x2 + 160y + -4y2 = 0 + 800

Combine like terms: -800 + 800 = 0
0 + 25x2 + 160y + -4y2 = 0 + 800
25x2 + 160y + -4y2 = 0 + 800

Combine like terms: 0 + 800 = 800
25x2 + 160y + -4y2 = 800

Add '-160y' to each side of the equation.
25x2 + 160y + -160y + -4y2 = 800 + -160y

Combine like terms: 160y + -160y = 0
25x2 + 0 + -4y2 = 800 + -160y
25x2 + -4y2 = 800 + -160y

Add '4y2' to each side of the equation.
25x2 + -4y2 + 4y2 = 800 + -160y + 4y2

Combine like terms: -4y2 + 4y2 = 0
25x2 + 0 = 800 + -160y + 4y2
25x2 = 800 + -160y + 4y2

Divide each side by '25'.
x2 = 32 + -6.4y + 0.16y2

Simplifying
x2 = 32 + -6.4y + 0.16y2

Reorder the terms:
-32 + x2 + 6.4y + -0.16y2 = 32 + -6.4y + 0.16y2 + -32 + 6.4y + -0.16y2

Reorder the terms:
-32 + x2 + 6.4y + -0.16y2 = 32 + -32 + -6.4y + 6.4y + 0.16y2 + -0.16y2

Combine like terms: 32 + -32 = 0
-32 + x2 + 6.4y + -0.16y2 = 0 + -6.4y + 6.4y + 0.16y2 + -0.16y2
-32 + x2 + 6.4y + -0.16y2 = -6.4y + 6.4y + 0.16y2 + -0.16y2

Combine like terms: -6.4y + 6.4y = 0.0
-32 + x2 + 6.4y + -0.16y2 = 0.0 + 0.16y2 + -0.16y2
-32 + x2 + 6.4y + -0.16y2 = 0.16y2 + -0.16y2

Combine like terms: 0.16y2 + -0.16y2 = 0.00
-32 + x2 + 6.4y + -0.16y2 = 0.00

The solution to this equation could not be determined.

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