3w^2-7w=-2

Solution for 3w^2-7w=-2 equation:

Simplifying
3w2 + -7w = -2

Reorder the terms:
-7w + 3w2 = -2

Solving
-7w + 3w2 = -2

Solving for variable 'w'.

Reorder the terms:
2 + -7w + 3w2 = -2 + 2

Combine like terms: -2 + 2 = 0
2 + -7w + 3w2 = 0

Factor a trinomial.
(1 + -3w)(2 + -1w) = 0

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

Simplifying
1 + -3w = 0

Solving
1 + -3w = 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 + -3w = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3w = 0 + -1
-3w = 0 + -1

Combine like terms: 0 + -1 = -1
-3w = -1

Divide each side by '-3'.
w = 0.3333333333

Simplifying
w = 0.3333333333
Subproblem 2
Set the factor '(2 + -1w)' equal to zero and attempt to solve:

Simplifying
2 + -1w = 0

Solving
2 + -1w = 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 + -1w = 0 + -2

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

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

Divide each side by '-1'.
w = 2

Simplifying
w = 2
Solution
w = {0.3333333333, 2}