(w+10)(w-8)=

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Solution for (w+10)(w-8)= equation: 


Simplifying
(w + 10)(w + -8) = 0

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

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

Multiply (10 + w) * (-8 + w)
(10(-8 + w) + w(-8 + w)) = 0
((-8 * 10 + w * 10) + w(-8 + w)) = 0
((-80 + 10w) + w(-8 + w)) = 0
(-80 + 10w + (-8 * w + w * w)) = 0
(-80 + 10w + (-8w + w2)) = 0

Combine like terms: 10w + -8w = 2w
(-80 + 2w + w2) = 0

Solving
-80 + 2w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-10 + -1w)(8 + -1w) = 0


Subproblem 1
Set the factor '(-10 + -1w)' equal to zero and attempt to solve:

Simplifying
-10 + -1w = 0

Solving
-10 + -1w = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1w = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1w = 0 + 10
-1w = 0 + 10

Combine like terms: 0 + 10 = 10
-1w = 10

Divide each side by '-1'.
w = -10

Simplifying
w = -10

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 = {-10, 8}

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