x^2+2x+1=144

Solution for x^2+2x+1=144 equation:

Simplifying
x2 + 2x + 1 = 144

Reorder the terms:
1 + 2x + x2 = 144

Solving
1 + 2x + x2 = 144

Solving for variable 'x'.

Reorder the terms:
1 + -144 + 2x + x2 = 144 + -144

Combine like terms: 1 + -144 = -143
-143 + 2x + x2 = 144 + -144

Combine like terms: 144 + -144 = 0
-143 + 2x + x2 = 0

Factor a trinomial.
(-13 + -1x)(11 + -1x) = 0

Subproblem 1
Set the factor '(-13 + -1x)' equal to zero and attempt to solve:

Simplifying
-13 + -1x = 0

Solving
-13 + -1x = 0

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

Add '13' to each side of the equation.
-13 + 13 + -1x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -1x = 0 + 13
-1x = 0 + 13

Combine like terms: 0 + 13 = 13
-1x = 13

Divide each side by '-1'.
x = -13

Simplifying
x = -13
Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Solution
x = {-13, 11}