(w+4)(w+6w-11)=

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Solution for (w+4)(w+6w-11)= equation: 


Simplifying
(w + 4)(w + 6w + -11) = 0

Reorder the terms:
(4 + w)(w + 6w + -11) = 0

Reorder the terms:
(4 + w)(-11 + w + 6w) = 0

Combine like terms: w + 6w = 7w
(4 + w)(-11 + 7w) = 0

Multiply (4 + w) * (-11 + 7w)
(4(-11 + 7w) + w(-11 + 7w)) = 0
((-11 * 4 + 7w * 4) + w(-11 + 7w)) = 0
((-44 + 28w) + w(-11 + 7w)) = 0
(-44 + 28w + (-11 * w + 7w * w)) = 0
(-44 + 28w + (-11w + 7w2)) = 0

Combine like terms: 28w + -11w = 17w
(-44 + 17w + 7w2) = 0

Solving
-44 + 17w + 7w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-4 + -1w)(11 + -7w) = 0


Subproblem 1
Set the factor '(-4 + -1w)' equal to zero and attempt to solve:

Simplifying
-4 + -1w = 0

Solving
-4 + -1w = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1w = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1w = 0 + 4
-1w = 0 + 4

Combine like terms: 0 + 4 = 4
-1w = 4

Divide each side by '-1'.
w = -4

Simplifying
w = -4

Subproblem 2
Set the factor '(11 + -7w)' equal to zero and attempt to solve:

Simplifying
11 + -7w = 0

Solving
11 + -7w = 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 + -7w = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -7w = 0 + -11
-7w = 0 + -11

Combine like terms: 0 + -11 = -11
-7w = -11

Divide each side by '-7'.
w = 1.571428571

Simplifying
w = 1.571428571
Solution
w = {-4, 1.571428571}

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