x^2+10x+25=81

Solution for x^2+10x+25=81 equation:

Simplifying
x2 + 10x + 25 = 81

Reorder the terms:
25 + 10x + x2 = 81

Solving
25 + 10x + x2 = 81

Solving for variable 'x'.

Reorder the terms:
25 + -81 + 10x + x2 = 81 + -81

Combine like terms: 25 + -81 = -56
-56 + 10x + x2 = 81 + -81

Combine like terms: 81 + -81 = 0
-56 + 10x + x2 = 0

Factor a trinomial.
(-14 + -1x)(4 + -1x) = 0

Subproblem 1
Set the factor '(-14 + -1x)' equal to zero and attempt to solve:

Simplifying
-14 + -1x = 0

Solving
-14 + -1x = 0

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

Add '14' to each side of the equation.
-14 + 14 + -1x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -1x = 0 + 14
-1x = 0 + 14

Combine like terms: 0 + 14 = 14
-1x = 14

Divide each side by '-1'.
x = -14

Simplifying
x = -14
Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-14, 4}