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Simplifying
(49w)(49w) + -25 = 0
Remove parenthesis around (49w)
49w(49w) + -25 = 0
Remove parenthesis around (49w)
49w * 49w + -25 = 0
Reorder the terms for easier multiplication:
49 * 49w * w + -25 = 0
Multiply 49 * 49
2401w * w + -25 = 0
Multiply w * w
2401w2 + -25 = 0
Reorder the terms:
-25 + 2401w2 = 0
Solving
-25 + 2401w2 = 0
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '25' to each side of the equation.
-25 + 25 + 2401w2 = 0 + 25
Combine like terms: -25 + 25 = 0
0 + 2401w2 = 0 + 25
2401w2 = 0 + 25
Combine like terms: 0 + 25 = 25
2401w2 = 25
Divide each side by '2401'.
w2 = 0.0104123282
Simplifying
w2 = 0.0104123282
Take the square root of each side:
w = {-0.102040816, 0.102040816}
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