X^2-15X-28=6

Solution for X^2-15X-28=6 equation:

Simplifying
X2 + -15X + -28 = 6

Reorder the terms:
-28 + -15X + X2 = 6

Solving
-28 + -15X + X2 = 6

Solving for variable 'X'.

Reorder the terms:
-28 + -6 + -15X + X2 = 6 + -6

Combine like terms: -28 + -6 = -34
-34 + -15X + X2 = 6 + -6

Combine like terms: 6 + -6 = 0
-34 + -15X + X2 = 0

Factor a trinomial.
(-2 + -1X)(17 + -1X) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(17 + -1X)' equal to zero and attempt to solve:

Simplifying
17 + -1X = 0

Solving
17 + -1X = 0

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

Add '-17' to each side of the equation.
17 + -17 + -1X = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -1X = 0 + -17
-1X = 0 + -17

Combine like terms: 0 + -17 = -17
-1X = -17

Divide each side by '-1'.
X = 17

Simplifying
X = 17
Solution
X = {-2, 17}