-4(w+5)(-w+3)=0

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Solution for -4(w+5)(-w+3)=0 equation: 


Simplifying
-4(w + 5)(-1w + 3) = 0

Reorder the terms:
-4(5 + w)(-1w + 3) = 0

Reorder the terms:
-4(5 + w)(3 + -1w) = 0

Multiply (5 + w) * (3 + -1w)
-4(5(3 + -1w) + w(3 + -1w)) = 0
-4((3 * 5 + -1w * 5) + w(3 + -1w)) = 0
-4((15 + -5w) + w(3 + -1w)) = 0
-4(15 + -5w + (3 * w + -1w * w)) = 0
-4(15 + -5w + (3w + -1w2)) = 0

Combine like terms: -5w + 3w = -2w
-4(15 + -2w + -1w2) = 0
(15 * -4 + -2w * -4 + -1w2 * -4) = 0
(-60 + 8w + 4w2) = 0

Solving
-60 + 8w + 4w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-15 + 2w + w2) = 0

Factor a trinomial.
4((-5 + -1w)(3 + -1w)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-5 + -1w)' equal to zero and attempt to solve:

Simplifying
-5 + -1w = 0

Solving
-5 + -1w = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1w = 0 + 5

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

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

Divide each side by '-1'.
w = -5

Simplifying
w = -5

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

Simplifying
3 + -1w = 0

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

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

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

Divide each side by '-1'.
w = 3

Simplifying
w = 3
Solution
w = {-5, 3}

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