w^2-11=2-5w^2

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Solution for w^2-11=2-5w^2 equation: 


Simplifying
w2 + -11 = 2 + -5w2

Reorder the terms:
-11 + w2 = 2 + -5w2

Solving
-11 + w2 = 2 + -5w2

Solving for variable 'w'.

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

Add '5w2' to each side of the equation.
-11 + w2 + 5w2 = 2 + -5w2 + 5w2

Combine like terms: w2 + 5w2 = 6w2
-11 + 6w2 = 2 + -5w2 + 5w2

Combine like terms: -5w2 + 5w2 = 0
-11 + 6w2 = 2 + 0
-11 + 6w2 = 2

Add '11' to each side of the equation.
-11 + 11 + 6w2 = 2 + 11

Combine like terms: -11 + 11 = 0
0 + 6w2 = 2 + 11
6w2 = 2 + 11

Combine like terms: 2 + 11 = 13
6w2 = 13

Divide each side by '6'.
w2 = 2.166666667

Simplifying
w2 = 2.166666667

Take the square root of each side:
w = {-1.471960145, 1.471960145}

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