25x^2+y^2-4y-21=0

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Solution for 25x^2+y^2-4y-21=0 equation: 


Simplifying
25x2 + y2 + -4y + -21 = 0

Reorder the terms:
-21 + 25x2 + -4y + y2 = 0

Solving
-21 + 25x2 + -4y + y2 = 0

Solving for variable 'x'.

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

Add '21' to each side of the equation.
-21 + 25x2 + -4y + 21 + y2 = 0 + 21

Reorder the terms:
-21 + 21 + 25x2 + -4y + y2 = 0 + 21

Combine like terms: -21 + 21 = 0
0 + 25x2 + -4y + y2 = 0 + 21
25x2 + -4y + y2 = 0 + 21

Combine like terms: 0 + 21 = 21
25x2 + -4y + y2 = 21

Add '4y' to each side of the equation.
25x2 + -4y + 4y + y2 = 21 + 4y

Combine like terms: -4y + 4y = 0
25x2 + 0 + y2 = 21 + 4y
25x2 + y2 = 21 + 4y

Add '-1y2' to each side of the equation.
25x2 + y2 + -1y2 = 21 + 4y + -1y2

Combine like terms: y2 + -1y2 = 0
25x2 + 0 = 21 + 4y + -1y2
25x2 = 21 + 4y + -1y2

Divide each side by '25'.
x2 = 0.84 + 0.16y + -0.04y2

Simplifying
x2 = 0.84 + 0.16y + -0.04y2

Reorder the terms:
-0.84 + x2 + -0.16y + 0.04y2 = 0.84 + 0.16y + -0.04y2 + -0.84 + -0.16y + 0.04y2

Reorder the terms:
-0.84 + x2 + -0.16y + 0.04y2 = 0.84 + -0.84 + 0.16y + -0.16y + -0.04y2 + 0.04y2

Combine like terms: 0.84 + -0.84 = 0.00
-0.84 + x2 + -0.16y + 0.04y2 = 0.00 + 0.16y + -0.16y + -0.04y2 + 0.04y2
-0.84 + x2 + -0.16y + 0.04y2 = 0.16y + -0.16y + -0.04y2 + 0.04y2

Combine like terms: 0.16y + -0.16y = 0.00
-0.84 + x2 + -0.16y + 0.04y2 = 0.00 + -0.04y2 + 0.04y2
-0.84 + x2 + -0.16y + 0.04y2 = -0.04y2 + 0.04y2

Combine like terms: -0.04y2 + 0.04y2 = 0.00
-0.84 + x2 + -0.16y + 0.04y2 = 0.00

The solution to this equation could not be determined.

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