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Simplifying
7w2 + 14 = 77
Reorder the terms:
14 + 7w2 = 77
Solving
14 + 7w2 = 77
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 + 7w2 = 77 + -14
Combine like terms: 14 + -14 = 0
0 + 7w2 = 77 + -14
7w2 = 77 + -14
Combine like terms: 77 + -14 = 63
7w2 = 63
Divide each side by '7'.
w2 = 9
Simplifying
w2 = 9
Take the square root of each side:
w = {-3, 3}
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