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Simplifying
w2 + 10w + -10w + -100 = 0
Reorder the terms:
-100 + 10w + -10w + w2 = 0
Combine like terms: 10w + -10w = 0
-100 + 0 + w2 = 0
-100 + w2 = 0
Solving
-100 + w2 = 0
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '100' to each side of the equation.
-100 + 100 + w2 = 0 + 100
Combine like terms: -100 + 100 = 0
0 + w2 = 0 + 100
w2 = 0 + 100
Combine like terms: 0 + 100 = 100
w2 = 100
Simplifying
w2 = 100
Take the square root of each side:
w = {-10, 10}
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