x^2+15x+57=3

Solution for x^2+15x+57=3 equation:

Simplifying
x2 + 15x + 57 = 3

Reorder the terms:
57 + 15x + x2 = 3

Solving
57 + 15x + x2 = 3

Solving for variable 'x'.

Reorder the terms:
57 + -3 + 15x + x2 = 3 + -3

Combine like terms: 57 + -3 = 54
54 + 15x + x2 = 3 + -3

Combine like terms: 3 + -3 = 0
54 + 15x + x2 = 0

Factor a trinomial.
(9 + x)(6 + x) = 0

Subproblem 1
Set the factor '(9 + x)' equal to zero and attempt to solve:

Simplifying
9 + x = 0

Solving
9 + x = 0

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

Add '-9' to each side of the equation.
9 + -9 + x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + x = 0 + -9
x = 0 + -9

Combine like terms: 0 + -9 = -9
x = -9

Simplifying
x = -9
Subproblem 2
Set the factor '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

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

Add '-6' to each side of the equation.
6 + -6 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6
Solution
x = {-9, -6}