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Simplifying
w * 2w + -5 = 52
Reorder the terms for easier multiplication:
2w * w + -5 = 52
Multiply w * w
2w2 + -5 = 52
Reorder the terms:
-5 + 2w2 = 52
Solving
-5 + 2w2 = 52
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '5' to each side of the equation.
-5 + 5 + 2w2 = 52 + 5
Combine like terms: -5 + 5 = 0
0 + 2w2 = 52 + 5
2w2 = 52 + 5
Combine like terms: 52 + 5 = 57
2w2 = 57
Divide each side by '2'.
w2 = 28.5
Simplifying
w2 = 28.5
Take the square root of each side:
w = {-5.338539126, 5.338539126}
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