2w(4w-3)=-4+3

Solution for 2w(4w-3)=-4+3 equation:

Simplifying
2w(4w + -3) = -4 + 3

Reorder the terms:
2w(-3 + 4w) = -4 + 3
(-3 * 2w + 4w * 2w) = -4 + 3
(-6w + 8w2) = -4 + 3

Combine like terms: -4 + 3 = -1
-6w + 8w2 = -1

Solving
-6w + 8w2 = -1

Solving for variable 'w'.

Reorder the terms:
1 + -6w + 8w2 = -1 + 1

Combine like terms: -1 + 1 = 0
1 + -6w + 8w2 = 0

Factor a trinomial.
(1 + -4w)(1 + -2w) = 0

Subproblem 1
Set the factor '(1 + -4w)' equal to zero and attempt to solve:

Simplifying
1 + -4w = 0

Solving
1 + -4w = 0

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

Add '-1' to each side of the equation.
1 + -1 + -4w = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4w = 0 + -1
-4w = 0 + -1

Combine like terms: 0 + -1 = -1
-4w = -1

Divide each side by '-4'.
w = 0.25

Simplifying
w = 0.25
Subproblem 2
Set the factor '(1 + -2w)' equal to zero and attempt to solve:

Simplifying
1 + -2w = 0

Solving
1 + -2w = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2w = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2w = 0 + -1
-2w = 0 + -1

Combine like terms: 0 + -1 = -1
-2w = -1

Divide each side by '-2'.
w = 0.5

Simplifying
w = 0.5
Solution
w = {0.25, 0.5}