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Simplifying
2w2 + -14 = 36
Reorder the terms:
-14 + 2w2 = 36
Solving
-14 + 2w2 = 36
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '14' to each side of the equation.
-14 + 14 + 2w2 = 36 + 14
Combine like terms: -14 + 14 = 0
0 + 2w2 = 36 + 14
2w2 = 36 + 14
Combine like terms: 36 + 14 = 50
2w2 = 50
Divide each side by '2'.
w2 = 25
Simplifying
w2 = 25
Take the square root of each side:
w = {-5, 5}
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