(2w+11)(w-3)=0

Solution for (2w+11)(w-3)=0 equation:

Simplifying
(2w + 11)(w + -3) = 0

Reorder the terms:
(11 + 2w)(w + -3) = 0

Reorder the terms:
(11 + 2w)(-3 + w) = 0

Multiply (11 + 2w) * (-3 + w)
(11(-3 + w) + 2w * (-3 + w)) = 0
((-3 * 11 + w * 11) + 2w * (-3 + w)) = 0
((-33 + 11w) + 2w * (-3 + w)) = 0
(-33 + 11w + (-3 * 2w + w * 2w)) = 0
(-33 + 11w + (-6w + 2w2)) = 0

Combine like terms: 11w + -6w = 5w
(-33 + 5w + 2w2) = 0

Solving
-33 + 5w + 2w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-11 + -2w)(3 + -1w) = 0

Subproblem 1
Set the factor '(-11 + -2w)' equal to zero and attempt to solve:

Simplifying
-11 + -2w = 0

Solving
-11 + -2w = 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 + -2w = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -2w = 0 + 11
-2w = 0 + 11

Combine like terms: 0 + 11 = 11
-2w = 11

Divide each side by '-2'.
w = -5.5

Simplifying
w = -5.5
Subproblem 2
Set the factor '(3 + -1w)' equal to zero and attempt to solve:

Simplifying
3 + -1w = 0

Solving
3 + -1w = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1w = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1w = 0 + -3
-1w = 0 + -3

Combine like terms: 0 + -3 = -3
-1w = -3

Divide each side by '-1'.
w = 3

Simplifying
w = 3
Solution
w = {-5.5, 3}