x^2+14x+49=144

Solution for x^2+14x+49=144 equation:

Simplifying
x2 + 14x + 49 = 144

Reorder the terms:
49 + 14x + x2 = 144

Solving
49 + 14x + x2 = 144

Solving for variable 'x'.

Reorder the terms:
49 + -144 + 14x + x2 = 144 + -144

Combine like terms: 49 + -144 = -95
-95 + 14x + x2 = 144 + -144

Combine like terms: 144 + -144 = 0
-95 + 14x + x2 = 0

Factor a trinomial.
(-19 + -1x)(5 + -1x) = 0

Subproblem 1
Set the factor '(-19 + -1x)' equal to zero and attempt to solve:

Simplifying
-19 + -1x = 0

Solving
-19 + -1x = 0

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

Add '19' to each side of the equation.
-19 + 19 + -1x = 0 + 19

Combine like terms: -19 + 19 = 0
0 + -1x = 0 + 19
-1x = 0 + 19

Combine like terms: 0 + 19 = 19
-1x = 19

Divide each side by '-1'.
x = -19

Simplifying
x = -19
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 = {-19, 5}