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Simplifying
0 = 3w2 + -7 + 2
Reorder the terms:
0 = -7 + 2 + 3w2
Combine like terms: -7 + 2 = -5
0 = -5 + 3w2
Solving
0 = -5 + 3w2
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '-3w2' to each side of the equation.
0 + -3w2 = -5 + 3w2 + -3w2
Remove the zero:
-3w2 = -5 + 3w2 + -3w2
Combine like terms: 3w2 + -3w2 = 0
-3w2 = -5 + 0
-3w2 = -5
Divide each side by '-3'.
w2 = 1.666666667
Simplifying
w2 = 1.666666667
Take the square root of each side:
w = {-1.290994449, 1.290994449}
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