4(w+1)(-w+8)=0

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Solution for 4(w+1)(-w+8)=0 equation: 


Simplifying
4(w + 1)(-1w + 8) = 0

Reorder the terms:
4(1 + w)(-1w + 8) = 0

Reorder the terms:
4(1 + w)(8 + -1w) = 0

Multiply (1 + w) * (8 + -1w)
4(1(8 + -1w) + w(8 + -1w)) = 0
4((8 * 1 + -1w * 1) + w(8 + -1w)) = 0
4((8 + -1w) + w(8 + -1w)) = 0
4(8 + -1w + (8 * w + -1w * w)) = 0
4(8 + -1w + (8w + -1w2)) = 0

Combine like terms: -1w + 8w = 7w
4(8 + 7w + -1w2) = 0
(8 * 4 + 7w * 4 + -1w2 * 4) = 0
(32 + 28w + -4w2) = 0

Solving
32 + 28w + -4w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '4'.
4(8 + 7w + -1w2) = 0

Factor a trinomial.
4((8 + -1w)(1 + w)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(8 + -1w)' equal to zero and attempt to solve:

Simplifying
8 + -1w = 0

Solving
8 + -1w = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1w = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1w = 0 + -8
-1w = 0 + -8

Combine like terms: 0 + -8 = -8
-1w = -8

Divide each side by '-1'.
w = 8

Simplifying
w = 8

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 = {8, -1}

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