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Simplifying
5w2 + -45 = 0
Reorder the terms:
-45 + 5w2 = 0
Solving
-45 + 5w2 = 0
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '45' to each side of the equation.
-45 + 45 + 5w2 = 0 + 45
Combine like terms: -45 + 45 = 0
0 + 5w2 = 0 + 45
5w2 = 0 + 45
Combine like terms: 0 + 45 = 45
5w2 = 45
Divide each side by '5'.
w2 = 9
Simplifying
w2 = 9
Take the square root of each side:
w = {-3, 3}
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