w^2-25=1-2w^2

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Solution for w^2-25=1-2w^2 equation: 


Simplifying
w2 + -25 = 1 + -2w2

Reorder the terms:
-25 + w2 = 1 + -2w2

Solving
-25 + w2 = 1 + -2w2

Solving for variable 'w'.

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

Add '2w2' to each side of the equation.
-25 + w2 + 2w2 = 1 + -2w2 + 2w2

Combine like terms: w2 + 2w2 = 3w2
-25 + 3w2 = 1 + -2w2 + 2w2

Combine like terms: -2w2 + 2w2 = 0
-25 + 3w2 = 1 + 0
-25 + 3w2 = 1

Add '25' to each side of the equation.
-25 + 25 + 3w2 = 1 + 25

Combine like terms: -25 + 25 = 0
0 + 3w2 = 1 + 25
3w2 = 1 + 25

Combine like terms: 1 + 25 = 26
3w2 = 26

Divide each side by '3'.
w2 = 8.666666667

Simplifying
w2 = 8.666666667

Take the square root of each side:
w = {-2.943920289, 2.943920289}

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