10X^2+61X+6=0

Solution for 10X^2+61X+6=0 equation:

Simplifying
10X2 + 61X + 6 = 0

Reorder the terms:
6 + 61X + 10X2 = 0

Solving
6 + 61X + 10X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(6 + X)(1 + 10X) = 0

Subproblem 1
Set the factor '(6 + X)' equal to zero and attempt to solve:

Simplifying
6 + X = 0

Solving
6 + X = 0

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

Add '-6' to each side of the equation.
6 + -6 + X = 0 + -6

Combine like terms: 6 + -6 = 0
0 + X = 0 + -6
X = 0 + -6

Combine like terms: 0 + -6 = -6
X = -6

Simplifying
X = -6
Subproblem 2
Set the factor '(1 + 10X)' equal to zero and attempt to solve:

Simplifying
1 + 10X = 0

Solving
1 + 10X = 0

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

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

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

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

Divide each side by '10'.
X = -0.1

Simplifying
X = -0.1
Solution
X = {-6, -0.1}