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Simplifying
2w2 + 10 = 106
Reorder the terms:
10 + 2w2 = 106
Solving
10 + 2w2 = 106
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '-10' to each side of the equation.
10 + -10 + 2w2 = 106 + -10
Combine like terms: 10 + -10 = 0
0 + 2w2 = 106 + -10
2w2 = 106 + -10
Combine like terms: 106 + -10 = 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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