16x^2+25y^2+100y-300=0

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Solution for 16x^2+25y^2+100y-300=0 equation: 


Simplifying
16x2 + 25y2 + 100y + -300 = 0

Reorder the terms:
-300 + 16x2 + 100y + 25y2 = 0

Solving
-300 + 16x2 + 100y + 25y2 = 0

Solving for variable 'x'.

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

Add '300' to each side of the equation.
-300 + 16x2 + 100y + 300 + 25y2 = 0 + 300

Reorder the terms:
-300 + 300 + 16x2 + 100y + 25y2 = 0 + 300

Combine like terms: -300 + 300 = 0
0 + 16x2 + 100y + 25y2 = 0 + 300
16x2 + 100y + 25y2 = 0 + 300

Combine like terms: 0 + 300 = 300
16x2 + 100y + 25y2 = 300

Add '-100y' to each side of the equation.
16x2 + 100y + -100y + 25y2 = 300 + -100y

Combine like terms: 100y + -100y = 0
16x2 + 0 + 25y2 = 300 + -100y
16x2 + 25y2 = 300 + -100y

Add '-25y2' to each side of the equation.
16x2 + 25y2 + -25y2 = 300 + -100y + -25y2

Combine like terms: 25y2 + -25y2 = 0
16x2 + 0 = 300 + -100y + -25y2
16x2 = 300 + -100y + -25y2

Divide each side by '16'.
x2 = 18.75 + -6.25y + -1.5625y2

Simplifying
x2 = 18.75 + -6.25y + -1.5625y2

Reorder the terms:
-18.75 + x2 + 6.25y + 1.5625y2 = 18.75 + -6.25y + -1.5625y2 + -18.75 + 6.25y + 1.5625y2

Reorder the terms:
-18.75 + x2 + 6.25y + 1.5625y2 = 18.75 + -18.75 + -6.25y + 6.25y + -1.5625y2 + 1.5625y2

Combine like terms: 18.75 + -18.75 = 0.00
-18.75 + x2 + 6.25y + 1.5625y2 = 0.00 + -6.25y + 6.25y + -1.5625y2 + 1.5625y2
-18.75 + x2 + 6.25y + 1.5625y2 = -6.25y + 6.25y + -1.5625y2 + 1.5625y2

Combine like terms: -6.25y + 6.25y = 0.00
-18.75 + x2 + 6.25y + 1.5625y2 = 0.00 + -1.5625y2 + 1.5625y2
-18.75 + x2 + 6.25y + 1.5625y2 = -1.5625y2 + 1.5625y2

Combine like terms: -1.5625y2 + 1.5625y2 = 0.0000
-18.75 + x2 + 6.25y + 1.5625y2 = 0.0000

The solution to this equation could not be determined.

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