2u^2+8w-6-w^2-9=0

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Solution for 2u^2+8w-6-w^2-9=0 equation: 


Simplifying
2u2 + 8w + -6 + -1w2 + -9 = 0

Reorder the terms:
-6 + -9 + 2u2 + 8w + -1w2 = 0

Combine like terms: -6 + -9 = -15
-15 + 2u2 + 8w + -1w2 = 0

Solving
-15 + 2u2 + 8w + -1w2 = 0

Solving for variable 'u'.

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

Add '15' to each side of the equation.
-15 + 2u2 + 8w + 15 + -1w2 = 0 + 15

Reorder the terms:
-15 + 15 + 2u2 + 8w + -1w2 = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 2u2 + 8w + -1w2 = 0 + 15
2u2 + 8w + -1w2 = 0 + 15

Combine like terms: 0 + 15 = 15
2u2 + 8w + -1w2 = 15

Add '-8w' to each side of the equation.
2u2 + 8w + -8w + -1w2 = 15 + -8w

Combine like terms: 8w + -8w = 0
2u2 + 0 + -1w2 = 15 + -8w
2u2 + -1w2 = 15 + -8w

Add 'w2' to each side of the equation.
2u2 + -1w2 + w2 = 15 + -8w + w2

Combine like terms: -1w2 + w2 = 0
2u2 + 0 = 15 + -8w + w2
2u2 = 15 + -8w + w2

Divide each side by '2'.
u2 = 7.5 + -4w + 0.5w2

Simplifying
u2 = 7.5 + -4w + 0.5w2

Reorder the terms:
-7.5 + u2 + 4w + -0.5w2 = 7.5 + -4w + 0.5w2 + -7.5 + 4w + -0.5w2

Reorder the terms:
-7.5 + u2 + 4w + -0.5w2 = 7.5 + -7.5 + -4w + 4w + 0.5w2 + -0.5w2

Combine like terms: 7.5 + -7.5 = 0.0
-7.5 + u2 + 4w + -0.5w2 = 0.0 + -4w + 4w + 0.5w2 + -0.5w2
-7.5 + u2 + 4w + -0.5w2 = -4w + 4w + 0.5w2 + -0.5w2

Combine like terms: -4w + 4w = 0
-7.5 + u2 + 4w + -0.5w2 = 0 + 0.5w2 + -0.5w2
-7.5 + u2 + 4w + -0.5w2 = 0.5w2 + -0.5w2

Combine like terms: 0.5w2 + -0.5w2 = 0.0
-7.5 + u2 + 4w + -0.5w2 = 0.0

The solution to this equation could not be determined.

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