-5w^2+-1+7-5w+-w^2=

Solution for -5w^2+-1+7-5w+-w^2= equation:

Simplifying
-5w2 + -1 + 7 + -5w + -1w2 = 0

Reorder the terms:
-1 + 7 + -5w + -5w2 + -1w2 = 0

Combine like terms: -1 + 7 = 6
6 + -5w + -5w2 + -1w2 = 0

Combine like terms: -5w2 + -1w2 = -6w2
6 + -5w + -6w2 = 0

Solving
6 + -5w + -6w2 = 0

Solving for variable 'w'.

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

Subproblem 1
Set the factor '(2 + -3w)' equal to zero and attempt to solve:

Simplifying
2 + -3w = 0

Solving
2 + -3w = 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 + -3w = 0 + -2

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

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

Divide each side by '-3'.
w = 0.6666666667

Simplifying
w = 0.6666666667
Subproblem 2
Set the factor '(3 + 2w)' equal to zero and attempt to solve:

Simplifying
3 + 2w = 0

Solving
3 + 2w = 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 + 2w = 0 + -3

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

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

Divide each side by '2'.
w = -1.5

Simplifying
w = -1.5
Solution
w = {0.6666666667, -1.5}