-3w=5w^2-2

Solution for -3w=5w^2-2 equation:

Simplifying
-3w = 5w2 + -2

Reorder the terms:
-3w = -2 + 5w2

Solving
-3w = -2 + 5w2

Solving for variable 'w'.

Reorder the terms:
2 + -3w + -5w2 = -2 + 5w2 + 2 + -5w2

Reorder the terms:
2 + -3w + -5w2 = -2 + 2 + 5w2 + -5w2

Combine like terms: -2 + 2 = 0
2 + -3w + -5w2 = 0 + 5w2 + -5w2
2 + -3w + -5w2 = 5w2 + -5w2

Combine like terms: 5w2 + -5w2 = 0
2 + -3w + -5w2 = 0

Factor a trinomial.
(2 + -5w)(1 + w) = 0

Subproblem 1
Set the factor '(2 + -5w)' equal to zero and attempt to solve:

Simplifying
2 + -5w = 0

Solving
2 + -5w = 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 + -5w = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5w = 0 + -2
-5w = 0 + -2

Combine like terms: 0 + -2 = -2
-5w = -2

Divide each side by '-5'.
w = 0.4

Simplifying
w = 0.4
Subproblem 2
Set the factor '(1 + w)' equal to zero and attempt to solve:

Simplifying
1 + w = 0

Solving
1 + w = 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 + w = 0 + -1

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

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

Simplifying
w = -1
Solution
w = {0.4, -1}