4x^2+3y^2+18y+15=0

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Solution for 4x^2+3y^2+18y+15=0 equation: 


Simplifying
4x2 + 3y2 + 18y + 15 = 0

Reorder the terms:
15 + 4x2 + 18y + 3y2 = 0

Solving
15 + 4x2 + 18y + 3y2 = 0

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + 4x2 + 18y + -15 + 3y2 = 0 + -15

Reorder the terms:
15 + -15 + 4x2 + 18y + 3y2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 4x2 + 18y + 3y2 = 0 + -15
4x2 + 18y + 3y2 = 0 + -15

Combine like terms: 0 + -15 = -15
4x2 + 18y + 3y2 = -15

Add '-18y' to each side of the equation.
4x2 + 18y + -18y + 3y2 = -15 + -18y

Combine like terms: 18y + -18y = 0
4x2 + 0 + 3y2 = -15 + -18y
4x2 + 3y2 = -15 + -18y

Add '-3y2' to each side of the equation.
4x2 + 3y2 + -3y2 = -15 + -18y + -3y2

Combine like terms: 3y2 + -3y2 = 0
4x2 + 0 = -15 + -18y + -3y2
4x2 = -15 + -18y + -3y2

Divide each side by '4'.
x2 = -3.75 + -4.5y + -0.75y2

Simplifying
x2 = -3.75 + -4.5y + -0.75y2

Reorder the terms:
3.75 + x2 + 4.5y + 0.75y2 = -3.75 + -4.5y + -0.75y2 + 3.75 + 4.5y + 0.75y2

Reorder the terms:
3.75 + x2 + 4.5y + 0.75y2 = -3.75 + 3.75 + -4.5y + 4.5y + -0.75y2 + 0.75y2

Combine like terms: -3.75 + 3.75 = 0.00
3.75 + x2 + 4.5y + 0.75y2 = 0.00 + -4.5y + 4.5y + -0.75y2 + 0.75y2
3.75 + x2 + 4.5y + 0.75y2 = -4.5y + 4.5y + -0.75y2 + 0.75y2

Combine like terms: -4.5y + 4.5y = 0.0
3.75 + x2 + 4.5y + 0.75y2 = 0.0 + -0.75y2 + 0.75y2
3.75 + x2 + 4.5y + 0.75y2 = -0.75y2 + 0.75y2

Combine like terms: -0.75y2 + 0.75y2 = 0.00
3.75 + x2 + 4.5y + 0.75y2 = 0.00

The solution to this equation could not be determined.

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