5w(5w-8)=-12

Solution for 5w(5w-8)=-12 equation:

Simplifying
5w(5w + -8) = -12

Reorder the terms:
5w(-8 + 5w) = -12
(-8 * 5w + 5w * 5w) = -12
(-40w + 25w2) = -12

Solving
-40w + 25w2 = -12

Solving for variable 'w'.

Reorder the terms:
12 + -40w + 25w2 = -12 + 12

Combine like terms: -12 + 12 = 0
12 + -40w + 25w2 = 0

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

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

Simplifying
2 + -5w = 0

Solving
2 + -5w = 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 + -5w = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5w = 0 + -2
-5w = 0 + -2

Combine like terms: 0 + -2 = -2
-5w = -2

Divide each side by '-5'.
w = 0.4

Simplifying
w = 0.4
Subproblem 2
Set the factor '(6 + -5w)' equal to zero and attempt to solve:

Simplifying
6 + -5w = 0

Solving
6 + -5w = 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 + -5w = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5w = 0 + -6
-5w = 0 + -6

Combine like terms: 0 + -6 = -6
-5w = -6

Divide each side by '-5'.
w = 1.2

Simplifying
w = 1.2
Solution
w = {0.4, 1.2}