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Simplifying
5 + 2w2 = 52
Solving
5 + 2w2 = 52
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '-5' to each side of the equation.
5 + -5 + 2w2 = 52 + -5
Combine like terms: 5 + -5 = 0
0 + 2w2 = 52 + -5
2w2 = 52 + -5
Combine like terms: 52 + -5 = 47
2w2 = 47
Divide each side by '2'.
w2 = 23.5
Simplifying
w2 = 23.5
Take the square root of each side:
w = {-4.847679857, 4.847679857}
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