10X^2+7X-111=0

Solution for 10X^2+7X-111=0 equation:

Simplifying
10X2 + 7X + -111 = 0

Reorder the terms:
-111 + 7X + 10X2 = 0

Solving
-111 + 7X + 10X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(-37 + -10X)(3 + -1X) = 0

Subproblem 1
Set the factor '(-37 + -10X)' equal to zero and attempt to solve:

Simplifying
-37 + -10X = 0

Solving
-37 + -10X = 0

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

Add '37' to each side of the equation.
-37 + 37 + -10X = 0 + 37

Combine like terms: -37 + 37 = 0
0 + -10X = 0 + 37
-10X = 0 + 37

Combine like terms: 0 + 37 = 37
-10X = 37

Divide each side by '-10'.
X = -3.7

Simplifying
X = -3.7
Subproblem 2
Set the factor '(3 + -1X)' equal to zero and attempt to solve:

Simplifying
3 + -1X = 0

Solving
3 + -1X = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1X = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1X = 0 + -3
-1X = 0 + -3

Combine like terms: 0 + -3 = -3
-1X = -3

Divide each side by '-1'.
X = 3

Simplifying
X = 3
Solution
X = {-3.7, 3}