(8w+11)(w-2)=

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Solution for (8w+11)(w-2)= equation: 


Simplifying
(8w + 11)(w + -2) = 0

Reorder the terms:
(11 + 8w)(w + -2) = 0

Reorder the terms:
(11 + 8w)(-2 + w) = 0

Multiply (11 + 8w) * (-2 + w)
(11(-2 + w) + 8w * (-2 + w)) = 0
((-2 * 11 + w * 11) + 8w * (-2 + w)) = 0
((-22 + 11w) + 8w * (-2 + w)) = 0
(-22 + 11w + (-2 * 8w + w * 8w)) = 0
(-22 + 11w + (-16w + 8w2)) = 0

Combine like terms: 11w + -16w = -5w
(-22 + -5w + 8w2) = 0

Solving
-22 + -5w + 8w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-11 + -8w)(2 + -1w) = 0


Subproblem 1
Set the factor '(-11 + -8w)' equal to zero and attempt to solve:

Simplifying
-11 + -8w = 0

Solving
-11 + -8w = 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 + -8w = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -8w = 0 + 11
-8w = 0 + 11

Combine like terms: 0 + 11 = 11
-8w = 11

Divide each side by '-8'.
w = -1.375

Simplifying
w = -1.375

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

Simplifying
2 + -1w = 0

Solving
2 + -1w = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1w = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1w = 0 + -2
-1w = 0 + -2

Combine like terms: 0 + -2 = -2
-1w = -2

Divide each side by '-1'.
w = 2

Simplifying
w = 2
Solution
w = {-1.375, 2}

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