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Simplifying
104 = 2w2 + 8
Reorder the terms:
104 = 8 + 2w2
Solving
104 = 8 + 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.
104 + -2w2 = 8 + 2w2 + -2w2
Combine like terms: 2w2 + -2w2 = 0
104 + -2w2 = 8 + 0
104 + -2w2 = 8
Add '-104' to each side of the equation.
104 + -104 + -2w2 = 8 + -104
Combine like terms: 104 + -104 = 0
0 + -2w2 = 8 + -104
-2w2 = 8 + -104
Combine like terms: 8 + -104 = -96
-2w2 = -96
Divide each side by '-2'.
w2 = 48
Simplifying
w2 = 48
Take the square root of each side:
w = {-6.92820323, 6.92820323}
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