5x^2-3y^2+15z^2+15=0

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Solution for 5x^2-3y^2+15z^2+15=0 equation: 


Simplifying
5x2 + -3y2 + 15z2 + 15 = 0

Reorder the terms:
15 + 5x2 + -3y2 + 15z2 = 0

Solving
15 + 5x2 + -3y2 + 15z2 = 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 + 5x2 + -3y2 + -15 + 15z2 = 0 + -15

Reorder the terms:
15 + -15 + 5x2 + -3y2 + 15z2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 5x2 + -3y2 + 15z2 = 0 + -15
5x2 + -3y2 + 15z2 = 0 + -15

Combine like terms: 0 + -15 = -15
5x2 + -3y2 + 15z2 = -15

Add '3y2' to each side of the equation.
5x2 + -3y2 + 3y2 + 15z2 = -15 + 3y2

Combine like terms: -3y2 + 3y2 = 0
5x2 + 0 + 15z2 = -15 + 3y2
5x2 + 15z2 = -15 + 3y2

Add '-15z2' to each side of the equation.
5x2 + 15z2 + -15z2 = -15 + 3y2 + -15z2

Combine like terms: 15z2 + -15z2 = 0
5x2 + 0 = -15 + 3y2 + -15z2
5x2 = -15 + 3y2 + -15z2

Divide each side by '5'.
x2 = -3 + 0.6y2 + -3z2

Simplifying
x2 = -3 + 0.6y2 + -3z2

Reorder the terms:
3 + x2 + -0.6y2 + 3z2 = -3 + 0.6y2 + -3z2 + 3 + -0.6y2 + 3z2

Reorder the terms:
3 + x2 + -0.6y2 + 3z2 = -3 + 3 + 0.6y2 + -0.6y2 + -3z2 + 3z2

Combine like terms: -3 + 3 = 0
3 + x2 + -0.6y2 + 3z2 = 0 + 0.6y2 + -0.6y2 + -3z2 + 3z2
3 + x2 + -0.6y2 + 3z2 = 0.6y2 + -0.6y2 + -3z2 + 3z2

Combine like terms: 0.6y2 + -0.6y2 = 0.0
3 + x2 + -0.6y2 + 3z2 = 0.0 + -3z2 + 3z2
3 + x2 + -0.6y2 + 3z2 = -3z2 + 3z2

Combine like terms: -3z2 + 3z2 = 0
3 + x2 + -0.6y2 + 3z2 = 0

The solution to this equation could not be determined.

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