x^2+51x+144=0

Solution for x^2+51x+144=0 equation:

Simplifying
x2 + 51x + 144 = 0

Reorder the terms:
144 + 51x + x2 = 0

Solving
144 + 51x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(48 + x)(3 + x) = 0

Subproblem 1
Set the factor '(48 + x)' equal to zero and attempt to solve:

Simplifying
48 + x = 0

Solving
48 + x = 0

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

Add '-48' to each side of the equation.
48 + -48 + x = 0 + -48

Combine like terms: 48 + -48 = 0
0 + x = 0 + -48
x = 0 + -48

Combine like terms: 0 + -48 = -48
x = -48

Simplifying
x = -48
Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {-48, -3}