2x^2+23x+6=-57

Solution for 2x^2+23x+6=-57 equation:

Simplifying
2x2 + 23x + 6 = -57

Reorder the terms:
6 + 23x + 2x2 = -57

Solving
6 + 23x + 2x2 = -57

Solving for variable 'x'.

Reorder the terms:
6 + 57 + 23x + 2x2 = -57 + 57

Combine like terms: 6 + 57 = 63
63 + 23x + 2x2 = -57 + 57

Combine like terms: -57 + 57 = 0
63 + 23x + 2x2 = 0

Factor a trinomial.
(7 + x)(9 + 2x) = 0

Subproblem 1
Set the factor '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 0

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

Add '-7' to each side of the equation.
7 + -7 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Simplifying
x = -7
Subproblem 2
Set the factor '(9 + 2x)' equal to zero and attempt to solve:

Simplifying
9 + 2x = 0

Solving
9 + 2x = 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 + 2x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 2x = 0 + -9
2x = 0 + -9

Combine like terms: 0 + -9 = -9
2x = -9

Divide each side by '2'.
x = -4.5

Simplifying
x = -4.5
Solution
x = {-7, -4.5}