4w^2+8=204

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Solution for 4w^2+8=204 equation: 


Simplifying
4w2 + 8 = 204

Reorder the terms:
8 + 4w2 = 204

Solving
8 + 4w2 = 204

Solving for variable 'w'.

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

Add '-8' to each side of the equation.
8 + -8 + 4w2 = 204 + -8

Combine like terms: 8 + -8 = 0
0 + 4w2 = 204 + -8
4w2 = 204 + -8

Combine like terms: 204 + -8 = 196
4w2 = 196

Divide each side by '4'.
w2 = 49

Simplifying
w2 = 49

Take the square root of each side:
w = {-7, 7}

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