(2w+10)(w-6)=0

Solution for (2w+10)(w-6)=0 equation:

Simplifying
(2w + 10)(w + -6) = 0

Reorder the terms:
(10 + 2w)(w + -6) = 0

Reorder the terms:
(10 + 2w)(-6 + w) = 0

Multiply (10 + 2w) * (-6 + w)
(10(-6 + w) + 2w * (-6 + w)) = 0
((-6 * 10 + w * 10) + 2w * (-6 + w)) = 0
((-60 + 10w) + 2w * (-6 + w)) = 0
(-60 + 10w + (-6 * 2w + w * 2w)) = 0
(-60 + 10w + (-12w + 2w2)) = 0

Combine like terms: 10w + -12w = -2w
(-60 + -2w + 2w2) = 0

Solving
-60 + -2w + 2w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-30 + -1w + w2) = 0

Factor a trinomial.
2((-5 + -1w)(6 + -1w)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-5 + -1w)' equal to zero and attempt to solve:

Simplifying
-5 + -1w = 0

Solving
-5 + -1w = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1w = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1w = 0 + 5
-1w = 0 + 5

Combine like terms: 0 + 5 = 5
-1w = 5

Divide each side by '-1'.
w = -5

Simplifying
w = -5
Subproblem 2
Set the factor '(6 + -1w)' equal to zero and attempt to solve:

Simplifying
6 + -1w = 0

Solving
6 + -1w = 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 + -1w = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1w = 0 + -6
-1w = 0 + -6

Combine like terms: 0 + -6 = -6
-1w = -6

Divide each side by '-1'.
w = 6

Simplifying
w = 6
Solution
w = {-5, 6}