10x^2-13x-1130=0

Solution for 10x^2-13x-1130=0 equation:

Simplifying
10x2 + -13x + -1130 = 0

Reorder the terms:
-1130 + -13x + 10x2 = 0

Solving
-1130 + -13x + 10x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-10 + -1x)(113 + -10x) = 0

Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve:

Simplifying
-10 + -1x = 0

Solving
-10 + -1x = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = 0 + 10
-1x = 0 + 10

Combine like terms: 0 + 10 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10
Subproblem 2
Set the factor '(113 + -10x)' equal to zero and attempt to solve:

Simplifying
113 + -10x = 0

Solving
113 + -10x = 0

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

Add '-113' to each side of the equation.
113 + -113 + -10x = 0 + -113

Combine like terms: 113 + -113 = 0
0 + -10x = 0 + -113
-10x = 0 + -113

Combine like terms: 0 + -113 = -113
-10x = -113

Divide each side by '-10'.
x = 11.3

Simplifying
x = 11.3
Solution
x = {-10, 11.3}