x^2-9+3(x+3)=0

Solution for x^2-9+3(x+3)=0 equation:

Simplifying
x2 + -9 + 3(x + 3) = 0

Reorder the terms:
x2 + -9 + 3(3 + x) = 0
x2 + -9 + (3 * 3 + x * 3) = 0
x2 + -9 + (9 + 3x) = 0

Reorder the terms:
-9 + 9 + 3x + x2 = 0

Combine like terms: -9 + 9 = 0
0 + 3x + x2 = 0
3x + x2 = 0

Solving
3x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(3 + x) = 0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 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 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {0, -3}