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Simplifying
4w2 + -532 = 1582
Reorder the terms:
-532 + 4w2 = 1582
Solving
-532 + 4w2 = 1582
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '532' to each side of the equation.
-532 + 532 + 4w2 = 1582 + 532
Combine like terms: -532 + 532 = 0
0 + 4w2 = 1582 + 532
4w2 = 1582 + 532
Combine like terms: 1582 + 532 = 2114
4w2 = 2114
Divide each side by '4'.
w2 = 528.5
Simplifying
w2 = 528.5
Take the square root of each side:
w = {-22.989127865, 22.989127865}
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