x^2+38x=215

Solution for x^2+38x=215 equation:

Simplifying
x2 + 38x = 215

Reorder the terms:
38x + x2 = 215

Solving
38x + x2 = 215

Solving for variable 'x'.

Reorder the terms:
-215 + 38x + x2 = 215 + -215

Combine like terms: 215 + -215 = 0
-215 + 38x + x2 = 0

Factor a trinomial.
(-43 + -1x)(5 + -1x) = 0

Subproblem 1
Set the factor '(-43 + -1x)' equal to zero and attempt to solve:

Simplifying
-43 + -1x = 0

Solving
-43 + -1x = 0

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

Add '43' to each side of the equation.
-43 + 43 + -1x = 0 + 43

Combine like terms: -43 + 43 = 0
0 + -1x = 0 + 43
-1x = 0 + 43

Combine like terms: 0 + 43 = 43
-1x = 43

Divide each side by '-1'.
x = -43

Simplifying
x = -43
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 = {-43, 5}