x^2+36+4x+9=90

Solution for x^2+36+4x+9=90 equation:

Simplifying
x2 + 36 + 4x + 9 = 90

Reorder the terms:
36 + 9 + 4x + x2 = 90

Combine like terms: 36 + 9 = 45
45 + 4x + x2 = 90

Solving
45 + 4x + x2 = 90

Solving for variable 'x'.

Reorder the terms:
45 + -90 + 4x + x2 = 90 + -90

Combine like terms: 45 + -90 = -45
-45 + 4x + x2 = 90 + -90

Combine like terms: 90 + -90 = 0
-45 + 4x + x2 = 0

Factor a trinomial.
(-9 + -1x)(5 + -1x) = 0

Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve:

Simplifying
-9 + -1x = 0

Solving
-9 + -1x = 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 + -1x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = 0 + 9
-1x = 0 + 9

Combine like terms: 0 + 9 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9
Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 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 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-9, 5}