w^2-1=22-9w^2

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Solution for w^2-1=22-9w^2 equation: 


Simplifying
w2 + -1 = 22 + -9w2

Reorder the terms:
-1 + w2 = 22 + -9w2

Solving
-1 + w2 = 22 + -9w2

Solving for variable 'w'.

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

Add '9w2' to each side of the equation.
-1 + w2 + 9w2 = 22 + -9w2 + 9w2

Combine like terms: w2 + 9w2 = 10w2
-1 + 10w2 = 22 + -9w2 + 9w2

Combine like terms: -9w2 + 9w2 = 0
-1 + 10w2 = 22 + 0
-1 + 10w2 = 22

Add '1' to each side of the equation.
-1 + 1 + 10w2 = 22 + 1

Combine like terms: -1 + 1 = 0
0 + 10w2 = 22 + 1
10w2 = 22 + 1

Combine like terms: 22 + 1 = 23
10w2 = 23

Divide each side by '10'.
w2 = 2.3

Simplifying
w2 = 2.3

Take the square root of each side:
w = {-1.516575089, 1.516575089}

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