4w^2+-1+w^2=c^2

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Solution for 4w^2+-1+w^2=c^2 equation:


Simplifying
4w2 + -1 + w2 = c2

Reorder the terms:
-1 + 4w2 + w2 = c2

Combine like terms: 4w2 + w2 = 5w2
-1 + 5w2 = c2

Solving
-1 + 5w2 = c2

Solving for variable 'w'.

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

Add '1' to each side of the equation.
-1 + 1 + 5w2 = 1 + c2

Combine like terms: -1 + 1 = 0
0 + 5w2 = 1 + c2
5w2 = 1 + c2

Divide each side by '5'.
w2 = 0.2 + 0.2c2

Simplifying
w2 = 0.2 + 0.2c2

Reorder the terms:
-0.2 + -0.2c2 + w2 = 0.2 + 0.2c2 + -0.2 + -0.2c2

Reorder the terms:
-0.2 + -0.2c2 + w2 = 0.2 + -0.2 + 0.2c2 + -0.2c2

Combine like terms: 0.2 + -0.2 = 0.0
-0.2 + -0.2c2 + w2 = 0.0 + 0.2c2 + -0.2c2
-0.2 + -0.2c2 + w2 = 0.2c2 + -0.2c2

Combine like terms: 0.2c2 + -0.2c2 = 0.0
-0.2 + -0.2c2 + w2 = 0.0

The solution to this equation could not be determined.

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