(11w+6)(5w-15)=0

Solution for (11w+6)(5w-15)=0 equation:

Simplifying
(11w + 6)(5w + -15) = 0

Reorder the terms:
(6 + 11w)(5w + -15) = 0

Reorder the terms:
(6 + 11w)(-15 + 5w) = 0

Multiply (6 + 11w) * (-15 + 5w)
(6(-15 + 5w) + 11w * (-15 + 5w)) = 0
((-15 * 6 + 5w * 6) + 11w * (-15 + 5w)) = 0
((-90 + 30w) + 11w * (-15 + 5w)) = 0
(-90 + 30w + (-15 * 11w + 5w * 11w)) = 0
(-90 + 30w + (-165w + 55w2)) = 0

Combine like terms: 30w + -165w = -135w
(-90 + -135w + 55w2) = 0

Solving
-90 + -135w + 55w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-18 + -27w + 11w2) = 0

Factor a trinomial.
5((-6 + -11w)(3 + -1w)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(-6 + -11w)' equal to zero and attempt to solve:

Simplifying
-6 + -11w = 0

Solving
-6 + -11w = 0

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

Add '6' to each side of the equation.
-6 + 6 + -11w = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -11w = 0 + 6
-11w = 0 + 6

Combine like terms: 0 + 6 = 6
-11w = 6

Divide each side by '-11'.
w = -0.5454545455

Simplifying
w = -0.5454545455
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 = {-0.5454545455, 3}