63=2w^2+11

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Solution for 63=2w^2+11 equation:


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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