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Simplifying
2w * w + 7 = 50
Multiply w * w
2w2 + 7 = 50
Reorder the terms:
7 + 2w2 = 50
Solving
7 + 2w2 = 50
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '-7' to each side of the equation.
7 + -7 + 2w2 = 50 + -7
Combine like terms: 7 + -7 = 0
0 + 2w2 = 50 + -7
2w2 = 50 + -7
Combine like terms: 50 + -7 = 43
2w2 = 43
Divide each side by '2'.
w2 = 21.5
Simplifying
w2 = 21.5
Take the square root of each side:
w = {-4.636809248, 4.636809248}
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