25x^2+9y^2-18y=216

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Solution for 25x^2+9y^2-18y=216 equation:


Simplifying
25x2 + 9y2 + -18y = 216

Reorder the terms:
25x2 + -18y + 9y2 = 216

Solving
25x2 + -18y + 9y2 = 216

Solving for variable 'x'.

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

Add '18y' to each side of the equation.
25x2 + -18y + 18y + 9y2 = 216 + 18y

Combine like terms: -18y + 18y = 0
25x2 + 0 + 9y2 = 216 + 18y
25x2 + 9y2 = 216 + 18y

Add '-9y2' to each side of the equation.
25x2 + 9y2 + -9y2 = 216 + 18y + -9y2

Combine like terms: 9y2 + -9y2 = 0
25x2 + 0 = 216 + 18y + -9y2
25x2 = 216 + 18y + -9y2

Divide each side by '25'.
x2 = 8.64 + 0.72y + -0.36y2

Simplifying
x2 = 8.64 + 0.72y + -0.36y2

Reorder the terms:
-8.64 + x2 + -0.72y + 0.36y2 = 8.64 + 0.72y + -0.36y2 + -8.64 + -0.72y + 0.36y2

Reorder the terms:
-8.64 + x2 + -0.72y + 0.36y2 = 8.64 + -8.64 + 0.72y + -0.72y + -0.36y2 + 0.36y2

Combine like terms: 8.64 + -8.64 = 0.00
-8.64 + x2 + -0.72y + 0.36y2 = 0.00 + 0.72y + -0.72y + -0.36y2 + 0.36y2
-8.64 + x2 + -0.72y + 0.36y2 = 0.72y + -0.72y + -0.36y2 + 0.36y2

Combine like terms: 0.72y + -0.72y = 0.00
-8.64 + x2 + -0.72y + 0.36y2 = 0.00 + -0.36y2 + 0.36y2
-8.64 + x2 + -0.72y + 0.36y2 = -0.36y2 + 0.36y2

Combine like terms: -0.36y2 + 0.36y2 = 0.00
-8.64 + x2 + -0.72y + 0.36y2 = 0.00

The solution to this equation could not be determined.

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