25X^2-56X+12=0

Solution for 25X^2-56X+12=0 equation:

Simplifying
25X2 + -56X + 12 = 0

Reorder the terms:
12 + -56X + 25X2 = 0

Solving
12 + -56X + 25X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(6 + -25X)(2 + -1X) = 0

Subproblem 1
Set the factor '(6 + -25X)' equal to zero and attempt to solve:

Simplifying
6 + -25X = 0

Solving
6 + -25X = 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 + -25X = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -25X = 0 + -6
-25X = 0 + -6

Combine like terms: 0 + -6 = -6
-25X = -6

Divide each side by '-25'.
X = 0.24

Simplifying
X = 0.24
Subproblem 2
Set the factor '(2 + -1X)' equal to zero and attempt to solve:

Simplifying
2 + -1X = 0

Solving
2 + -1X = 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 + -1X = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1X = 0 + -2
-1X = 0 + -2

Combine like terms: 0 + -2 = -2
-1X = -2

Divide each side by '-1'.
X = 2

Simplifying
X = 2
Solution
X = {0.24, 2}