81f^2-9g^2+6gh-h^2=

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Solution for 81f^2-9g^2+6gh-h^2= equation: 


Simplifying
81f2 + -9g2 + 6gh + -1h2 = 0

Reorder the terms:
81f2 + 6gh + -9g2 + -1h2 = 0

Solving
81f2 + 6gh + -9g2 + -1h2 = 0

Solving for variable 'f'.

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

Add '-6gh' to each side of the equation.
81f2 + 6gh + -9g2 + -6gh + -1h2 = 0 + -6gh

Reorder the terms:
81f2 + 6gh + -6gh + -9g2 + -1h2 = 0 + -6gh

Combine like terms: 6gh + -6gh = 0
81f2 + 0 + -9g2 + -1h2 = 0 + -6gh
81f2 + -9g2 + -1h2 = 0 + -6gh
Remove the zero:
81f2 + -9g2 + -1h2 = -6gh

Add '9g2' to each side of the equation.
81f2 + -9g2 + 9g2 + -1h2 = -6gh + 9g2

Combine like terms: -9g2 + 9g2 = 0
81f2 + 0 + -1h2 = -6gh + 9g2
81f2 + -1h2 = -6gh + 9g2

Add 'h2' to each side of the equation.
81f2 + -1h2 + h2 = -6gh + 9g2 + h2

Combine like terms: -1h2 + h2 = 0
81f2 + 0 = -6gh + 9g2 + h2
81f2 = -6gh + 9g2 + h2

Divide each side by '81'.
f2 = -0.07407407407gh + 0.1111111111g2 + 0.01234567901h2

Simplifying
f2 = -0.07407407407gh + 0.1111111111g2 + 0.01234567901h2

Reorder the terms:
f2 + 0.07407407407gh + -0.1111111111g2 + -0.01234567901h2 = -0.07407407407gh + 0.07407407407gh + 0.1111111111g2 + -0.1111111111g2 + 0.01234567901h2 + -0.01234567901h2

Combine like terms: -0.07407407407gh + 0.07407407407gh = 0.00000000000
f2 + 0.07407407407gh + -0.1111111111g2 + -0.01234567901h2 = 0.00000000000 + 0.1111111111g2 + -0.1111111111g2 + 0.01234567901h2 + -0.01234567901h2
f2 + 0.07407407407gh + -0.1111111111g2 + -0.01234567901h2 = 0.1111111111g2 + -0.1111111111g2 + 0.01234567901h2 + -0.01234567901h2

Combine like terms: 0.1111111111g2 + -0.1111111111g2 = 0.0000000000
f2 + 0.07407407407gh + -0.1111111111g2 + -0.01234567901h2 = 0.0000000000 + 0.01234567901h2 + -0.01234567901h2
f2 + 0.07407407407gh + -0.1111111111g2 + -0.01234567901h2 = 0.01234567901h2 + -0.01234567901h2

Combine like terms: 0.01234567901h2 + -0.01234567901h2 = 0.00000000000
f2 + 0.07407407407gh + -0.1111111111g2 + -0.01234567901h2 = 0.00000000000

The solution to this equation could not be determined.

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