(5x^2)-(y^2)-(15z^2)+15=0

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


Simplifying
(5x2) + -1(y2) + -1(15z2) + 15 = 0

Remove parenthesis around (15z2)
(5x2) + -1y2 + -1 * 15z2 + 15 = 0

Multiply -1 * 15
(5x2) + -1y2 + -15z2 + 15 = 0

Reorder the terms:
15 + (5x2) + -1y2 + -15z2 = 0

Solving
15 + (5x2) + -1y2 + -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) + -1y2 + -15 + -15z2 = 0 + -15

Reorder the terms:
15 + -15 + (5x2) + -1y2 + -15z2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + (5x2) + -1y2 + -15z2 = 0 + -15
(5x2) + -1y2 + -15z2 = 0 + -15

Combine like terms: 0 + -15 = -15
(5x2) + -1y2 + -15z2 = -15

Add 'y2' to each side of the equation.
(5x2) + -1y2 + y2 + -15z2 = -15 + y2

Combine like terms: -1y2 + y2 = 0
(5x2) + 0 + -15z2 = -15 + y2
(5x2) + -15z2 = -15 + y2

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

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

Divide each side by '5'.
x2 = -3 + 0.2y2 + 3z2

Simplifying
x2 = -3 + 0.2y2 + 3z2

Reorder the terms:
3 + x2 + -0.2y2 + -3z2 = -3 + 0.2y2 + 3z2 + 3 + -0.2y2 + -3z2

Reorder the terms:
3 + x2 + -0.2y2 + -3z2 = -3 + 3 + 0.2y2 + -0.2y2 + 3z2 + -3z2

Combine like terms: -3 + 3 = 0
3 + x2 + -0.2y2 + -3z2 = 0 + 0.2y2 + -0.2y2 + 3z2 + -3z2
3 + x2 + -0.2y2 + -3z2 = 0.2y2 + -0.2y2 + 3z2 + -3z2

Combine like terms: 0.2y2 + -0.2y2 = 0.0
3 + x2 + -0.2y2 + -3z2 = 0.0 + 3z2 + -3z2
3 + x2 + -0.2y2 + -3z2 = 3z2 + -3z2

Combine like terms: 3z2 + -3z2 = 0
3 + x2 + -0.2y2 + -3z2 = 0

The solution to this equation could not be determined.

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