-X^2+8X-15=

Solution for -X^2+8X-15= equation:

Simplifying
-1X2 + 8X + -15 = 0

Reorder the terms:
-15 + 8X + -1X2 = 0

Solving
-15 + 8X + -1X2 = 0

Solving for variable 'X'.

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

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

Simplifying
-5 + X = 0

Solving
-5 + X = 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 + X = 0 + 5

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

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

Simplifying
X = 5
Subproblem 2
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
Solution
X = {5, 3}