x^2+28x+196=144

Solution for x^2+28x+196=144 equation:

Simplifying
x2 + 28x + 196 = 144

Reorder the terms:
196 + 28x + x2 = 144

Solving
196 + 28x + x2 = 144

Solving for variable 'x'.

Reorder the terms:
196 + -144 + 28x + x2 = 144 + -144

Combine like terms: 196 + -144 = 52
52 + 28x + x2 = 144 + -144

Combine like terms: 144 + -144 = 0
52 + 28x + x2 = 0

Factor a trinomial.
(26 + x)(2 + x) = 0

Subproblem 1
Set the factor '(26 + x)' equal to zero and attempt to solve:

Simplifying
26 + x = 0

Solving
26 + x = 0

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

Add '-26' to each side of the equation.
26 + -26 + x = 0 + -26

Combine like terms: 26 + -26 = 0
0 + x = 0 + -26
x = 0 + -26

Combine like terms: 0 + -26 = -26
x = -26

Simplifying
x = -26
Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Solution
x = {-26, -2}