-5w=4w^2-6

Solution for -5w=4w^2-6 equation:

Simplifying
-5w = 4w2 + -6

Reorder the terms:
-5w = -6 + 4w2

Solving
-5w = -6 + 4w2

Solving for variable 'w'.

Reorder the terms:
6 + -5w + -4w2 = -6 + 4w2 + 6 + -4w2

Reorder the terms:
6 + -5w + -4w2 = -6 + 6 + 4w2 + -4w2

Combine like terms: -6 + 6 = 0
6 + -5w + -4w2 = 0 + 4w2 + -4w2
6 + -5w + -4w2 = 4w2 + -4w2

Combine like terms: 4w2 + -4w2 = 0
6 + -5w + -4w2 = 0

Factor a trinomial.
(3 + -4w)(2 + w) = 0

Subproblem 1
Set the factor '(3 + -4w)' equal to zero and attempt to solve:

Simplifying
3 + -4w = 0

Solving
3 + -4w = 0

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

Add '-3' to each side of the equation.
3 + -3 + -4w = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4w = 0 + -3
-4w = 0 + -3

Combine like terms: 0 + -3 = -3
-4w = -3

Divide each side by '-4'.
w = 0.75

Simplifying
w = 0.75
Subproblem 2
Set the factor '(2 + w)' equal to zero and attempt to solve:

Simplifying
2 + w = 0

Solving
2 + w = 0

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

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

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

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

Simplifying
w = -2
Solution
w = {0.75, -2}