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Simplifying
w * 5w + 10 = 380
Reorder the terms for easier multiplication:
5w * w + 10 = 380
Multiply w * w
5w2 + 10 = 380
Reorder the terms:
10 + 5w2 = 380
Solving
10 + 5w2 = 380
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '-10' to each side of the equation.
10 + -10 + 5w2 = 380 + -10
Combine like terms: 10 + -10 = 0
0 + 5w2 = 380 + -10
5w2 = 380 + -10
Combine like terms: 380 + -10 = 370
5w2 = 370
Divide each side by '5'.
w2 = 74
Simplifying
w2 = 74
Take the square root of each side:
w = {-8.602325267, 8.602325267}
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