(49w+5)(49w-5)=0

Solution for (49w+5)(49w-5)=0 equation:

Simplifying
(49w + 5)(49w + -5) = 0

Reorder the terms:
(5 + 49w)(49w + -5) = 0

Reorder the terms:
(5 + 49w)(-5 + 49w) = 0

Multiply (5 + 49w) * (-5 + 49w)
(5(-5 + 49w) + 49w * (-5 + 49w)) = 0
((-5 * 5 + 49w * 5) + 49w * (-5 + 49w)) = 0
((-25 + 245w) + 49w * (-5 + 49w)) = 0
(-25 + 245w + (-5 * 49w + 49w * 49w)) = 0
(-25 + 245w + (-245w + 2401w2)) = 0

Combine like terms: 245w + -245w = 0
(-25 + 0 + 2401w2) = 0
(-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}