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Simplifying
63 = 2w2 + 11
Reorder the terms:
63 = 11 + 2w2
Solving
63 = 11 + 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.
63 + -2w2 = 11 + 2w2 + -2w2
Combine like terms: 2w2 + -2w2 = 0
63 + -2w2 = 11 + 0
63 + -2w2 = 11
Add '-63' to each side of the equation.
63 + -63 + -2w2 = 11 + -63
Combine like terms: 63 + -63 = 0
0 + -2w2 = 11 + -63
-2w2 = 11 + -63
Combine like terms: 11 + -63 = -52
-2w2 = -52
Divide each side by '-2'.
w2 = 26
Simplifying
w2 = 26
Take the square root of each side:
w = {-5.099019514, 5.099019514}
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