-4(w+3)(-w-9)=0

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Solution for -4(w+3)(-w-9)=0 equation: 


Simplifying
-4(w + 3)(-1w + -9) = 0

Reorder the terms:
-4(3 + w)(-1w + -9) = 0

Reorder the terms:
-4(3 + w)(-9 + -1w) = 0

Multiply (3 + w) * (-9 + -1w)
-4(3(-9 + -1w) + w(-9 + -1w)) = 0
-4((-9 * 3 + -1w * 3) + w(-9 + -1w)) = 0
-4((-27 + -3w) + w(-9 + -1w)) = 0
-4(-27 + -3w + (-9 * w + -1w * w)) = 0
-4(-27 + -3w + (-9w + -1w2)) = 0

Combine like terms: -3w + -9w = -12w
-4(-27 + -12w + -1w2) = 0
(-27 * -4 + -12w * -4 + -1w2 * -4) = 0
(108 + 48w + 4w2) = 0

Solving
108 + 48w + 4w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '4'.
4(27 + 12w + w2) = 0

Factor a trinomial.
4((9 + w)(3 + w)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(9 + w)' equal to zero and attempt to solve:

Simplifying
9 + w = 0

Solving
9 + w = 0

Move all terms containing w to the left, all other terms to the right.

Add '-9' to each side of the equation.
9 + -9 + w = 0 + -9

Combine like terms: 9 + -9 = 0
0 + w = 0 + -9
w = 0 + -9

Combine like terms: 0 + -9 = -9
w = -9

Simplifying
w = -9

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

Simplifying
3 + w = 0

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

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

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

Simplifying
w = -3
Solution
w = {-9, -3}

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