1X^2-2X=15

Solution for 1X^2-2X=15 equation:

Simplifying
1X2 + -2X = 15

Reorder the terms:
-2X + 1X2 = 15

Solving
-2X + 1X2 = 15

Solving for variable 'X'.

Reorder the terms:
-15 + -2X + 1X2 = 15 + -15

Combine like terms: 15 + -15 = 0
-15 + -2X + 1X2 = 0

Factor a trinomial.
(-3 + -1X)(5 + -1X) = 0

Subproblem 1
Set the factor '(-3 + -1X)' equal to zero and attempt to solve:

Simplifying
-3 + -1X = 0

Solving
-3 + -1X = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1X = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1X = 0 + 3
-1X = 0 + 3

Combine like terms: 0 + 3 = 3
-1X = 3

Divide each side by '-1'.
X = -3

Simplifying
X = -3
Subproblem 2
Set the factor '(5 + -1X)' equal to zero and attempt to solve:

Simplifying
5 + -1X = 0

Solving
5 + -1X = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1X = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1X = 0 + -5
-1X = 0 + -5

Combine like terms: 0 + -5 = -5
-1X = -5

Divide each side by '-1'.
X = 5

Simplifying
X = 5
Solution
X = {-3, 5}