=x^2+6x-27

Solution for =x^2+6x-27 equation:

Simplifying
0 = x2 + 6x + -27

Reorder the terms:
0 = -27 + 6x + x2

Solving
0 = -27 + 6x + x2

Solving for variable 'x'.

Combine like terms: 0 + 27 = 27
27 + -6x + -1x2 = -27 + 6x + x2 + 27 + -6x + -1x2

Reorder the terms:
27 + -6x + -1x2 = -27 + 27 + 6x + -6x + x2 + -1x2

Combine like terms: -27 + 27 = 0
27 + -6x + -1x2 = 0 + 6x + -6x + x2 + -1x2
27 + -6x + -1x2 = 6x + -6x + x2 + -1x2

Combine like terms: 6x + -6x = 0
27 + -6x + -1x2 = 0 + x2 + -1x2
27 + -6x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
27 + -6x + -1x2 = 0

Factor a trinomial.
(3 + -1x)(9 + x) = 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 '(9 + x)' equal to zero and attempt to solve:

Simplifying
9 + x = 0

Solving
9 + x = 0

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

Add '-9' to each side of the equation.
9 + -9 + x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + x = 0 + -9
x = 0 + -9

Combine like terms: 0 + -9 = -9
x = -9

Simplifying
x = -9
Solution
x = {3, -9}