4x^2+25y^2+50y-75=0

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Solution for 4x^2+25y^2+50y-75=0 equation: 


Simplifying
4x2 + 25y2 + 50y + -75 = 0

Reorder the terms:
-75 + 4x2 + 50y + 25y2 = 0

Solving
-75 + 4x2 + 50y + 25y2 = 0

Solving for variable 'x'.

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

Add '75' to each side of the equation.
-75 + 4x2 + 50y + 75 + 25y2 = 0 + 75

Reorder the terms:
-75 + 75 + 4x2 + 50y + 25y2 = 0 + 75

Combine like terms: -75 + 75 = 0
0 + 4x2 + 50y + 25y2 = 0 + 75
4x2 + 50y + 25y2 = 0 + 75

Combine like terms: 0 + 75 = 75
4x2 + 50y + 25y2 = 75

Add '-50y' to each side of the equation.
4x2 + 50y + -50y + 25y2 = 75 + -50y

Combine like terms: 50y + -50y = 0
4x2 + 0 + 25y2 = 75 + -50y
4x2 + 25y2 = 75 + -50y

Add '-25y2' to each side of the equation.
4x2 + 25y2 + -25y2 = 75 + -50y + -25y2

Combine like terms: 25y2 + -25y2 = 0
4x2 + 0 = 75 + -50y + -25y2
4x2 = 75 + -50y + -25y2

Divide each side by '4'.
x2 = 18.75 + -12.5y + -6.25y2

Simplifying
x2 = 18.75 + -12.5y + -6.25y2

Reorder the terms:
-18.75 + x2 + 12.5y + 6.25y2 = 18.75 + -12.5y + -6.25y2 + -18.75 + 12.5y + 6.25y2

Reorder the terms:
-18.75 + x2 + 12.5y + 6.25y2 = 18.75 + -18.75 + -12.5y + 12.5y + -6.25y2 + 6.25y2

Combine like terms: 18.75 + -18.75 = 0.00
-18.75 + x2 + 12.5y + 6.25y2 = 0.00 + -12.5y + 12.5y + -6.25y2 + 6.25y2
-18.75 + x2 + 12.5y + 6.25y2 = -12.5y + 12.5y + -6.25y2 + 6.25y2

Combine like terms: -12.5y + 12.5y = 0.0
-18.75 + x2 + 12.5y + 6.25y2 = 0.0 + -6.25y2 + 6.25y2
-18.75 + x2 + 12.5y + 6.25y2 = -6.25y2 + 6.25y2

Combine like terms: -6.25y2 + 6.25y2 = 0.00
-18.75 + x2 + 12.5y + 6.25y2 = 0.00

The solution to this equation could not be determined.

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