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Simplifying
6w2 + -6w2 + 14w2 + -14 = 0
Reorder the terms:
-14 + 6w2 + -6w2 + 14w2 = 0
Combine like terms: 6w2 + -6w2 = 0
-14 + 0 + 14w2 = 0
-14 + 14w2 = 0
Solving
-14 + 14w2 = 0
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 + 14w2 = 0 + 14
Combine like terms: -14 + 14 = 0
0 + 14w2 = 0 + 14
14w2 = 0 + 14
Combine like terms: 0 + 14 = 14
14w2 = 14
Divide each side by '14'.
w2 = 1
Simplifying
w2 = 1
Take the square root of each side:
w = {-1, 1}
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