-8w(w+1)=2(1-4w)-9

Solution for -8w(w+1)=2(1-4w)-9 equation:

Simplifying
-8w(w + 1) = 2(1 + -4w) + -9

Reorder the terms:
-8w(1 + w) = 2(1 + -4w) + -9
(1 * -8w + w * -8w) = 2(1 + -4w) + -9
(-8w + -8w2) = 2(1 + -4w) + -9
-8w + -8w2 = (1 * 2 + -4w * 2) + -9
-8w + -8w2 = (2 + -8w) + -9

Reorder the terms:
-8w + -8w2 = 2 + -9 + -8w

Combine like terms: 2 + -9 = -7
-8w + -8w2 = -7 + -8w

Add '8w' to each side of the equation.
-8w + 8w + -8w2 = -7 + -8w + 8w

Combine like terms: -8w + 8w = 0
0 + -8w2 = -7 + -8w + 8w
-8w2 = -7 + -8w + 8w

Combine like terms: -8w + 8w = 0
-8w2 = -7 + 0
-8w2 = -7

Solving
-8w2 = -7

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Divide each side by '-8'.
w2 = 0.875

Simplifying
w2 = 0.875

Take the square root of each side:
w = {-0.935414347, 0.935414347}