(10x+1)(1x+6)=

Solution for (10x+1)(1x+6)= equation:

Simplifying
(10x + 1)(1x + 6) = 0

Reorder the terms:
(1 + 10x)(1x + 6) = 0

Reorder the terms:
(1 + 10x)(6 + 1x) = 0

Multiply (1 + 10x) * (6 + 1x)
(1(6 + 1x) + 10x * (6 + 1x)) = 0
((6 * 1 + 1x * 1) + 10x * (6 + 1x)) = 0
((6 + 1x) + 10x * (6 + 1x)) = 0
(6 + 1x + (6 * 10x + 1x * 10x)) = 0
(6 + 1x + (60x + 10x2)) = 0

Combine like terms: 1x + 60x = 61x
(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}