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Simplifying
2w2 + -98 = 0
Reorder the terms:
-98 + 2w2 = 0
Solving
-98 + 2w2 = 0
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '98' to each side of the equation.
-98 + 98 + 2w2 = 0 + 98
Combine like terms: -98 + 98 = 0
0 + 2w2 = 0 + 98
2w2 = 0 + 98
Combine like terms: 0 + 98 = 98
2w2 = 98
Divide each side by '2'.
w2 = 49
Simplifying
w2 = 49
Take the square root of each side:
w = {-7, 7}
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