(-7w^2-2w-1)-(-5w^2+3w+2)=

Solution for (-7w^2-2w-1)-(-5w^2+3w+2)= equation:

Simplifying
(-7w2 + -2w + -1) + -1(-5w2 + 3w + 2) = 0

Reorder the terms:
(-1 + -2w + -7w2) + -1(-5w2 + 3w + 2) = 0

Remove parenthesis around (-1 + -2w + -7w2)
-1 + -2w + -7w2 + -1(-5w2 + 3w + 2) = 0

Reorder the terms:
-1 + -2w + -7w2 + -1(2 + 3w + -5w2) = 0
-1 + -2w + -7w2 + (2 * -1 + 3w * -1 + -5w2 * -1) = 0
-1 + -2w + -7w2 + (-2 + -3w + 5w2) = 0

Reorder the terms:
-1 + -2 + -2w + -3w + -7w2 + 5w2 = 0

Combine like terms: -1 + -2 = -3
-3 + -2w + -3w + -7w2 + 5w2 = 0

Combine like terms: -2w + -3w = -5w
-3 + -5w + -7w2 + 5w2 = 0

Combine like terms: -7w2 + 5w2 = -2w2
-3 + -5w + -2w2 = 0

Solving
-3 + -5w + -2w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(3 + 5w + 2w2) = 0

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

Ignore the factor -1.
Subproblem 1
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
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 = {-1.5, -1}