(3w^2)+30w-72=

Solution for (3w^2)+30w-72= equation:

Simplifying
(3w2) + 30w + -72 = 0

Reorder the terms:
-72 + 30w + (3w2) = 0

Solving
-72 + 30w + (3w2) = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-24 + 10w + w2) = 0

Factor a trinomial.
3((-12 + -1w)(2 + -1w)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-12 + -1w)' equal to zero and attempt to solve:

Simplifying
-12 + -1w = 0

Solving
-12 + -1w = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1w = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1w = 0 + 12
-1w = 0 + 12

Combine like terms: 0 + 12 = 12
-1w = 12

Divide each side by '-1'.
w = -12

Simplifying
w = -12
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 = {-12, 2}