4(w+1)(-w-2)=

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Solution for 4(w+1)(-w-2)= equation: 


Simplifying
4(w + 1)(-1w + -2) = 0

Reorder the terms:
4(1 + w)(-1w + -2) = 0

Reorder the terms:
4(1 + w)(-2 + -1w) = 0

Multiply (1 + w) * (-2 + -1w)
4(1(-2 + -1w) + w(-2 + -1w)) = 0
4((-2 * 1 + -1w * 1) + w(-2 + -1w)) = 0
4((-2 + -1w) + w(-2 + -1w)) = 0
4(-2 + -1w + (-2 * w + -1w * w)) = 0
4(-2 + -1w + (-2w + -1w2)) = 0

Combine like terms: -1w + -2w = -3w
4(-2 + -3w + -1w2) = 0
(-2 * 4 + -3w * 4 + -1w2 * 4) = 0
(-8 + -12w + -4w2) = 0

Solving
-8 + -12w + -4w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '-4'.
-4(2 + 3w + w2) = 0

Factor a trinomial.
-4((2 + w)(1 + w)) = 0

Ignore the factor -4.

Subproblem 1
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

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 = {-2, -1}

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