X^2+0.5y^2-3.5y+15=0

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Solution for X^2+0.5y^2-3.5y+15=0 equation:


Simplifying
X2 + 0.5y2 + -3.5y + 15 = 0

Reorder the terms:
15 + X2 + -3.5y + 0.5y2 = 0

Solving
15 + X2 + -3.5y + 0.5y2 = 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 + X2 + -3.5y + -15 + 0.5y2 = 0 + -15

Reorder the terms:
15 + -15 + X2 + -3.5y + 0.5y2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + X2 + -3.5y + 0.5y2 = 0 + -15
X2 + -3.5y + 0.5y2 = 0 + -15

Combine like terms: 0 + -15 = -15
X2 + -3.5y + 0.5y2 = -15

Add '3.5y' to each side of the equation.
X2 + -3.5y + 3.5y + 0.5y2 = -15 + 3.5y

Combine like terms: -3.5y + 3.5y = 0.0
X2 + 0.0 + 0.5y2 = -15 + 3.5y
X2 + 0.5y2 = -15 + 3.5y

Add '-0.5y2' to each side of the equation.
X2 + 0.5y2 + -0.5y2 = -15 + 3.5y + -0.5y2

Combine like terms: 0.5y2 + -0.5y2 = 0.0
X2 + 0.0 = -15 + 3.5y + -0.5y2
X2 = -15 + 3.5y + -0.5y2

Simplifying
X2 = -15 + 3.5y + -0.5y2

Reorder the terms:
15 + X2 + -3.5y + 0.5y2 = -15 + 3.5y + -0.5y2 + 15 + -3.5y + 0.5y2

Reorder the terms:
15 + X2 + -3.5y + 0.5y2 = -15 + 15 + 3.5y + -3.5y + -0.5y2 + 0.5y2

Combine like terms: -15 + 15 = 0
15 + X2 + -3.5y + 0.5y2 = 0 + 3.5y + -3.5y + -0.5y2 + 0.5y2
15 + X2 + -3.5y + 0.5y2 = 3.5y + -3.5y + -0.5y2 + 0.5y2

Combine like terms: 3.5y + -3.5y = 0.0
15 + X2 + -3.5y + 0.5y2 = 0.0 + -0.5y2 + 0.5y2
15 + X2 + -3.5y + 0.5y2 = -0.5y2 + 0.5y2

Combine like terms: -0.5y2 + 0.5y2 = 0.0
15 + X2 + -3.5y + 0.5y2 = 0.0

The solution to this equation could not be determined.

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