25y^2-4x^2+150y+25=0

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Solution for 25y^2-4x^2+150y+25=0 equation: 


Simplifying
25y2 + -4x2 + 150y + 25 = 0

Reorder the terms:
25 + -4x2 + 150y + 25y2 = 0

Solving
25 + -4x2 + 150y + 25y2 = 0

Solving for variable 'x'.

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

Add '-25' to each side of the equation.
25 + -4x2 + 150y + -25 + 25y2 = 0 + -25

Reorder the terms:
25 + -25 + -4x2 + 150y + 25y2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -4x2 + 150y + 25y2 = 0 + -25
-4x2 + 150y + 25y2 = 0 + -25

Combine like terms: 0 + -25 = -25
-4x2 + 150y + 25y2 = -25

Add '-150y' to each side of the equation.
-4x2 + 150y + -150y + 25y2 = -25 + -150y

Combine like terms: 150y + -150y = 0
-4x2 + 0 + 25y2 = -25 + -150y
-4x2 + 25y2 = -25 + -150y

Add '-25y2' to each side of the equation.
-4x2 + 25y2 + -25y2 = -25 + -150y + -25y2

Combine like terms: 25y2 + -25y2 = 0
-4x2 + 0 = -25 + -150y + -25y2
-4x2 = -25 + -150y + -25y2

Divide each side by '-4'.
x2 = 6.25 + 37.5y + 6.25y2

Simplifying
x2 = 6.25 + 37.5y + 6.25y2

Reorder the terms:
-6.25 + x2 + -37.5y + -6.25y2 = 6.25 + 37.5y + 6.25y2 + -6.25 + -37.5y + -6.25y2

Reorder the terms:
-6.25 + x2 + -37.5y + -6.25y2 = 6.25 + -6.25 + 37.5y + -37.5y + 6.25y2 + -6.25y2

Combine like terms: 6.25 + -6.25 = 0.00
-6.25 + x2 + -37.5y + -6.25y2 = 0.00 + 37.5y + -37.5y + 6.25y2 + -6.25y2
-6.25 + x2 + -37.5y + -6.25y2 = 37.5y + -37.5y + 6.25y2 + -6.25y2

Combine like terms: 37.5y + -37.5y = 0.0
-6.25 + x2 + -37.5y + -6.25y2 = 0.0 + 6.25y2 + -6.25y2
-6.25 + x2 + -37.5y + -6.25y2 = 6.25y2 + -6.25y2

Combine like terms: 6.25y2 + -6.25y2 = 0.00
-6.25 + x2 + -37.5y + -6.25y2 = 0.00

The solution to this equation could not be determined.

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