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Simplifying
2w2 + 14 = 102
Reorder the terms:
14 + 2w2 = 102
Solving
14 + 2w2 = 102
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '-14' to each side of the equation.
14 + -14 + 2w2 = 102 + -14
Combine like terms: 14 + -14 = 0
0 + 2w2 = 102 + -14
2w2 = 102 + -14
Combine like terms: 102 + -14 = 88
2w2 = 88
Divide each side by '2'.
w2 = 44
Simplifying
w2 = 44
Take the square root of each side:
w = {-6.633249581, 6.633249581}
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