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Simplifying
100 = (4xw) * xw
Remove parenthesis around (4wx)
100 = 4wx * xw
Multiply wx * wx
100 = 4w2x2
Solving
100 = 4w2x2
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '-4w2x2' to each side of the equation.
100 + -4w2x2 = 4w2x2 + -4w2x2
Combine like terms: 4w2x2 + -4w2x2 = 0
100 + -4w2x2 = 0
Add '-100' to each side of the equation.
100 + -100 + -4w2x2 = 0 + -100
Combine like terms: 100 + -100 = 0
0 + -4w2x2 = 0 + -100
-4w2x2 = 0 + -100
Combine like terms: 0 + -100 = -100
-4w2x2 = -100
Divide each side by '-4x2'.
w2 = 25x-2
Simplifying
w2 = 25x-2
Take the square root of each side:
w = {-5x-1, 5x-1}
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