w^2-8=21-6w^2

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Solution for w^2-8=21-6w^2 equation: 


Simplifying
w2 + -8 = 21 + -6w2

Reorder the terms:
-8 + w2 = 21 + -6w2

Solving
-8 + w2 = 21 + -6w2

Solving for variable 'w'.

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

Add '6w2' to each side of the equation.
-8 + w2 + 6w2 = 21 + -6w2 + 6w2

Combine like terms: w2 + 6w2 = 7w2
-8 + 7w2 = 21 + -6w2 + 6w2

Combine like terms: -6w2 + 6w2 = 0
-8 + 7w2 = 21 + 0
-8 + 7w2 = 21

Add '8' to each side of the equation.
-8 + 8 + 7w2 = 21 + 8

Combine like terms: -8 + 8 = 0
0 + 7w2 = 21 + 8
7w2 = 21 + 8

Combine like terms: 21 + 8 = 29
7w2 = 29

Divide each side by '7'.
w2 = 4.142857143

Simplifying
w2 = 4.142857143

Take the square root of each side:
w = {-2.035400978, 2.035400978}

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