-x^2+2x+15=-9

Solution for -x^2+2x+15=-9 equation:

Simplifying
-1x2 + 2x + 15 = -9

Reorder the terms:
15 + 2x + -1x2 = -9

Solving
15 + 2x + -1x2 = -9

Solving for variable 'x'.

Reorder the terms:
15 + 9 + 2x + -1x2 = -9 + 9

Combine like terms: 15 + 9 = 24
24 + 2x + -1x2 = -9 + 9

Combine like terms: -9 + 9 = 0
24 + 2x + -1x2 = 0

Factor a trinomial.
(6 + -1x)(4 + x) = 0

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

Simplifying
6 + -1x = 0

Solving
6 + -1x = 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 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Solution
x = {6, -4}