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Simplifying
320 = 5w * w
Multiply w * w
320 = 5w2
Solving
320 = 5w2
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '-5w2' to each side of the equation.
320 + -5w2 = 5w2 + -5w2
Combine like terms: 5w2 + -5w2 = 0
320 + -5w2 = 0
Add '-320' to each side of the equation.
320 + -320 + -5w2 = 0 + -320
Combine like terms: 320 + -320 = 0
0 + -5w2 = 0 + -320
-5w2 = 0 + -320
Combine like terms: 0 + -320 = -320
-5w2 = -320
Divide each side by '-5'.
w2 = 64
Simplifying
w2 = 64
Take the square root of each side:
w = {-8, 8}
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