(w+4)(w-5)=36

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Solution for (w+4)(w-5)=36 equation: 


Simplifying
(w + 4)(w + -5) = 36

Reorder the terms:
(4 + w)(w + -5) = 36

Reorder the terms:
(4 + w)(-5 + w) = 36

Multiply (4 + w) * (-5 + w)
(4(-5 + w) + w(-5 + w)) = 36
((-5 * 4 + w * 4) + w(-5 + w)) = 36
((-20 + 4w) + w(-5 + w)) = 36
(-20 + 4w + (-5 * w + w * w)) = 36
(-20 + 4w + (-5w + w2)) = 36

Combine like terms: 4w + -5w = -1w
(-20 + -1w + w2) = 36

Solving
-20 + -1w + w2 = 36

Solving for variable 'w'.

Reorder the terms:
-20 + -36 + -1w + w2 = 36 + -36

Combine like terms: -20 + -36 = -56
-56 + -1w + w2 = 36 + -36

Combine like terms: 36 + -36 = 0
-56 + -1w + w2 = 0

Factor a trinomial.
(-7 + -1w)(8 + -1w) = 0


Subproblem 1
Set the factor '(-7 + -1w)' equal to zero and attempt to solve:

Simplifying
-7 + -1w = 0

Solving
-7 + -1w = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1w = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1w = 0 + 7
-1w = 0 + 7

Combine like terms: 0 + 7 = 7
-1w = 7

Divide each side by '-1'.
w = -7

Simplifying
w = -7

Subproblem 2
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
Solution
w = {-7, 8}

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