2x^2+23x-12=300

Solution for 2x^2+23x-12=300 equation:

Simplifying
2x2 + 23x + -12 = 300

Reorder the terms:
-12 + 23x + 2x2 = 300

Solving
-12 + 23x + 2x2 = 300

Solving for variable 'x'.

Reorder the terms:
-12 + -300 + 23x + 2x2 = 300 + -300

Combine like terms: -12 + -300 = -312
-312 + 23x + 2x2 = 300 + -300

Combine like terms: 300 + -300 = 0
-312 + 23x + 2x2 = 0

Factor a trinomial.
(-39 + -2x)(8 + -1x) = 0

Subproblem 1
Set the factor '(-39 + -2x)' equal to zero and attempt to solve:

Simplifying
-39 + -2x = 0

Solving
-39 + -2x = 0

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

Add '39' to each side of the equation.
-39 + 39 + -2x = 0 + 39

Combine like terms: -39 + 39 = 0
0 + -2x = 0 + 39
-2x = 0 + 39

Combine like terms: 0 + 39 = 39
-2x = 39

Divide each side by '-2'.
x = -19.5

Simplifying
x = -19.5
Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {-19.5, 8}