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Simplifying
102 = 2w2 + 14
Reorder the terms:
102 = 14 + 2w2
Solving
102 = 14 + 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.
102 + -2w2 = 14 + 2w2 + -2w2
Combine like terms: 2w2 + -2w2 = 0
102 + -2w2 = 14 + 0
102 + -2w2 = 14
Add '-102' to each side of the equation.
102 + -102 + -2w2 = 14 + -102
Combine like terms: 102 + -102 = 0
0 + -2w2 = 14 + -102
-2w2 = 14 + -102
Combine like terms: 14 + -102 = -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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