(x^2+5)-9(7+x)=-76

Solution for (x^2+5)-9(7+x)=-76 equation:

Simplifying
(x2 + 5) + -9(7 + x) = -76

Reorder the terms:
(5 + x2) + -9(7 + x) = -76

Remove parenthesis around (5 + x2)
5 + x2 + -9(7 + x) = -76
5 + x2 + (7 * -9 + x * -9) = -76
5 + x2 + (-63 + -9x) = -76

Reorder the terms:
5 + -63 + -9x + x2 = -76

Combine like terms: 5 + -63 = -58
-58 + -9x + x2 = -76

Solving
-58 + -9x + x2 = -76

Solving for variable 'x'.

Reorder the terms:
-58 + 76 + -9x + x2 = -76 + 76

Combine like terms: -58 + 76 = 18
18 + -9x + x2 = -76 + 76

Combine like terms: -76 + 76 = 0
18 + -9x + x2 = 0

Factor a trinomial.
(3 + -1x)(6 + -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 '(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
Solution
x = {3, 6}