x^2+23x=1674

Solution for x^2+23x=1674 equation:

Simplifying
x2 + 23x = 1674

Reorder the terms:
23x + x2 = 1674

Solving
23x + x2 = 1674

Solving for variable 'x'.

Reorder the terms:
-1674 + 23x + x2 = 1674 + -1674

Combine like terms: 1674 + -1674 = 0
-1674 + 23x + x2 = 0

Factor a trinomial.
(-54 + -1x)(31 + -1x) = 0

Subproblem 1
Set the factor '(-54 + -1x)' equal to zero and attempt to solve:

Simplifying
-54 + -1x = 0

Solving
-54 + -1x = 0

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

Add '54' to each side of the equation.
-54 + 54 + -1x = 0 + 54

Combine like terms: -54 + 54 = 0
0 + -1x = 0 + 54
-1x = 0 + 54

Combine like terms: 0 + 54 = 54
-1x = 54

Divide each side by '-1'.
x = -54

Simplifying
x = -54
Subproblem 2
Set the factor '(31 + -1x)' equal to zero and attempt to solve:

Simplifying
31 + -1x = 0

Solving
31 + -1x = 0

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

Add '-31' to each side of the equation.
31 + -31 + -1x = 0 + -31

Combine like terms: 31 + -31 = 0
0 + -1x = 0 + -31
-1x = 0 + -31

Combine like terms: 0 + -31 = -31
-1x = -31

Divide each side by '-1'.
x = 31

Simplifying
x = 31
Solution
x = {-54, 31}