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Simplifying
12w2 + 13 + -35 = 0
Reorder the terms:
13 + -35 + 12w2 = 0
Combine like terms: 13 + -35 = -22
-22 + 12w2 = 0
Solving
-22 + 12w2 = 0
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '22' to each side of the equation.
-22 + 22 + 12w2 = 0 + 22
Combine like terms: -22 + 22 = 0
0 + 12w2 = 0 + 22
12w2 = 0 + 22
Combine like terms: 0 + 22 = 22
12w2 = 22
Divide each side by '12'.
w2 = 1.833333333
Simplifying
w2 = 1.833333333
Take the square root of each side:
w = {-1.354006401, 1.354006401}
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