5x^2+3y^2-18y=-12

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Solution for 5x^2+3y^2-18y=-12 equation:


Simplifying
5x2 + 3y2 + -18y = -12

Reorder the terms:
5x2 + -18y + 3y2 = -12

Solving
5x2 + -18y + 3y2 = -12

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.
5x2 + -18y + 18y + 3y2 = -12 + 18y

Combine like terms: -18y + 18y = 0
5x2 + 0 + 3y2 = -12 + 18y
5x2 + 3y2 = -12 + 18y

Add '-3y2' to each side of the equation.
5x2 + 3y2 + -3y2 = -12 + 18y + -3y2

Combine like terms: 3y2 + -3y2 = 0
5x2 + 0 = -12 + 18y + -3y2
5x2 = -12 + 18y + -3y2

Divide each side by '5'.
x2 = -2.4 + 3.6y + -0.6y2

Simplifying
x2 = -2.4 + 3.6y + -0.6y2

Reorder the terms:
2.4 + x2 + -3.6y + 0.6y2 = -2.4 + 3.6y + -0.6y2 + 2.4 + -3.6y + 0.6y2

Reorder the terms:
2.4 + x2 + -3.6y + 0.6y2 = -2.4 + 2.4 + 3.6y + -3.6y + -0.6y2 + 0.6y2

Combine like terms: -2.4 + 2.4 = 0.0
2.4 + x2 + -3.6y + 0.6y2 = 0.0 + 3.6y + -3.6y + -0.6y2 + 0.6y2
2.4 + x2 + -3.6y + 0.6y2 = 3.6y + -3.6y + -0.6y2 + 0.6y2

Combine like terms: 3.6y + -3.6y = 0.0
2.4 + x2 + -3.6y + 0.6y2 = 0.0 + -0.6y2 + 0.6y2
2.4 + x2 + -3.6y + 0.6y2 = -0.6y2 + 0.6y2

Combine like terms: -0.6y2 + 0.6y2 = 0.0
2.4 + x2 + -3.6y + 0.6y2 = 0.0

The solution to this equation could not be determined.

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