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Simplifying
300 = (3w) * w
Remove parenthesis around (3w)
300 = 3w * w
Multiply w * w
300 = 3w2
Solving
300 = 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.
300 + -3w2 = 3w2 + -3w2
Combine like terms: 3w2 + -3w2 = 0
300 + -3w2 = 0
Add '-300' to each side of the equation.
300 + -300 + -3w2 = 0 + -300
Combine like terms: 300 + -300 = 0
0 + -3w2 = 0 + -300
-3w2 = 0 + -300
Combine like terms: 0 + -300 = -300
-3w2 = -300
Divide each side by '-3'.
w2 = 100
Simplifying
w2 = 100
Take the square root of each side:
w = {-10, 10}
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