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Simplifying
49w2 + -5 = 31
Reorder the terms:
-5 + 49w2 = 31
Solving
-5 + 49w2 = 31
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '5' to each side of the equation.
-5 + 5 + 49w2 = 31 + 5
Combine like terms: -5 + 5 = 0
0 + 49w2 = 31 + 5
49w2 = 31 + 5
Combine like terms: 31 + 5 = 36
49w2 = 36
Divide each side by '49'.
w2 = 0.7346938776
Simplifying
w2 = 0.7346938776
Take the square root of each side:
w = {-0.857142857, 0.857142857}
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