20x^2+45y^2-180=0

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Solution for 20x^2+45y^2-180=0 equation:


Simplifying
20x2 + 45y2 + -180 = 0

Reorder the terms:
-180 + 20x2 + 45y2 = 0

Solving
-180 + 20x2 + 45y2 = 0

Solving for variable 'x'.

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

Add '180' to each side of the equation.
-180 + 20x2 + 180 + 45y2 = 0 + 180

Reorder the terms:
-180 + 180 + 20x2 + 45y2 = 0 + 180

Combine like terms: -180 + 180 = 0
0 + 20x2 + 45y2 = 0 + 180
20x2 + 45y2 = 0 + 180

Combine like terms: 0 + 180 = 180
20x2 + 45y2 = 180

Add '-45y2' to each side of the equation.
20x2 + 45y2 + -45y2 = 180 + -45y2

Combine like terms: 45y2 + -45y2 = 0
20x2 + 0 = 180 + -45y2
20x2 = 180 + -45y2

Divide each side by '20'.
x2 = 9 + -2.25y2

Simplifying
x2 = 9 + -2.25y2

Reorder the terms:
-9 + x2 + 2.25y2 = 9 + -2.25y2 + -9 + 2.25y2

Reorder the terms:
-9 + x2 + 2.25y2 = 9 + -9 + -2.25y2 + 2.25y2

Combine like terms: 9 + -9 = 0
-9 + x2 + 2.25y2 = 0 + -2.25y2 + 2.25y2
-9 + x2 + 2.25y2 = -2.25y2 + 2.25y2

Combine like terms: -2.25y2 + 2.25y2 = 0.00
-9 + x2 + 2.25y2 = 0.00

The solution to this equation could not be determined.

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