-5X^2-28X+12=0

Solution for -5X^2-28X+12=0 equation:

Simplifying
-5X2 + -28X + 12 = 0

Reorder the terms:
12 + -28X + -5X2 = 0

Solving
12 + -28X + -5X2 = 0

Solving for variable 'X'.

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

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

Simplifying
2 + -5X = 0

Solving
2 + -5X = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5X = 0 + -2

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

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

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

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

Simplifying
6 + X = 0

Solving
6 + X = 0

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

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

Combine like terms: 6 + -6 = 0
0 + X = 0 + -6
X = 0 + -6

Combine like terms: 0 + -6 = -6
X = -6

Simplifying
X = -6
Solution
X = {0.4, -6}