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Simplifying
3w2 + -10 = 137
Reorder the terms:
-10 + 3w2 = 137
Solving
-10 + 3w2 = 137
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '10' to each side of the equation.
-10 + 10 + 3w2 = 137 + 10
Combine like terms: -10 + 10 = 0
0 + 3w2 = 137 + 10
3w2 = 137 + 10
Combine like terms: 137 + 10 = 147
3w2 = 147
Divide each side by '3'.
w2 = 49
Simplifying
w2 = 49
Take the square root of each side:
w = {-7, 7}
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