(w-7)(w+11)=

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Solution for (w-7)(w+11)= equation:


Simplifying
(w + -7)(w + 11) = 0

Reorder the terms:
(-7 + w)(w + 11) = 0

Reorder the terms:
(-7 + w)(11 + w) = 0

Multiply (-7 + w) * (11 + w)
(-7(11 + w) + w(11 + w)) = 0
((11 * -7 + w * -7) + w(11 + w)) = 0
((-77 + -7w) + w(11 + w)) = 0
(-77 + -7w + (11 * w + w * w)) = 0
(-77 + -7w + (11w + w2)) = 0

Combine like terms: -7w + 11w = 4w
(-77 + 4w + w2) = 0

Solving
-77 + 4w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-11 + -1w)(7 + -1w) = 0


Subproblem 1
Set the factor '(-11 + -1w)' equal to zero and attempt to solve:

Simplifying
-11 + -1w = 0

Solving
-11 + -1w = 0

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

Add '11' to each side of the equation.
-11 + 11 + -1w = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1w = 0 + 11
-1w = 0 + 11

Combine like terms: 0 + 11 = 11
-1w = 11

Divide each side by '-1'.
w = -11

Simplifying
w = -11

Subproblem 2
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
Solution
w = {-11, 7}

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