(6w+5)(6w-5)=0

Solution for (6w+5)(6w-5)=0 equation:

Simplifying
(6w + 5)(6w + -5) = 0

Reorder the terms:
(5 + 6w)(6w + -5) = 0

Reorder the terms:
(5 + 6w)(-5 + 6w) = 0

Multiply (5 + 6w) * (-5 + 6w)
(5(-5 + 6w) + 6w * (-5 + 6w)) = 0
((-5 * 5 + 6w * 5) + 6w * (-5 + 6w)) = 0
((-25 + 30w) + 6w * (-5 + 6w)) = 0
(-25 + 30w + (-5 * 6w + 6w * 6w)) = 0
(-25 + 30w + (-30w + 36w2)) = 0

Combine like terms: 30w + -30w = 0
(-25 + 0 + 36w2) = 0
(-25 + 36w2) = 0

Solving
-25 + 36w2 = 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 + 36w2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 36w2 = 0 + 25
36w2 = 0 + 25

Combine like terms: 0 + 25 = 25
36w2 = 25

Divide each side by '36'.
w2 = 0.6944444444

Simplifying
w2 = 0.6944444444

Take the square root of each side:
w = {-0.833333333, 0.833333333}