2x^2+15x-1197=0

Solution for 2x^2+15x-1197=0 equation:

Simplifying
2x2 + 15x + -1197 = 0

Reorder the terms:
-1197 + 15x + 2x2 = 0

Solving
-1197 + 15x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-57 + -2x)(21 + -1x) = 0

Subproblem 1
Set the factor '(-57 + -2x)' equal to zero and attempt to solve:

Simplifying
-57 + -2x = 0

Solving
-57 + -2x = 0

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

Add '57' to each side of the equation.
-57 + 57 + -2x = 0 + 57

Combine like terms: -57 + 57 = 0
0 + -2x = 0 + 57
-2x = 0 + 57

Combine like terms: 0 + 57 = 57
-2x = 57

Divide each side by '-2'.
x = -28.5

Simplifying
x = -28.5
Subproblem 2
Set the factor '(21 + -1x)' equal to zero and attempt to solve:

Simplifying
21 + -1x = 0

Solving
21 + -1x = 0

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

Add '-21' to each side of the equation.
21 + -21 + -1x = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -1x = 0 + -21
-1x = 0 + -21

Combine like terms: 0 + -21 = -21
-1x = -21

Divide each side by '-1'.
x = 21

Simplifying
x = 21
Solution
x = {-28.5, 21}