(12x+1)(x+10)=0

Solution for (12x+1)(x+10)=0 equation:

Simplifying
(12x + 1)(x + 10) = 0

Reorder the terms:
(1 + 12x)(x + 10) = 0

Reorder the terms:
(1 + 12x)(10 + x) = 0

Multiply (1 + 12x) * (10 + x)
(1(10 + x) + 12x * (10 + x)) = 0
((10 * 1 + x * 1) + 12x * (10 + x)) = 0
((10 + 1x) + 12x * (10 + x)) = 0
(10 + 1x + (10 * 12x + x * 12x)) = 0
(10 + 1x + (120x + 12x2)) = 0

Combine like terms: 1x + 120x = 121x
(10 + 121x + 12x2) = 0

Solving
10 + 121x + 12x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(10 + x)(1 + 12x) = 0

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

Simplifying
10 + x = 0

Solving
10 + x = 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 + x = 0 + -10

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

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

Simplifying
x = -10
Subproblem 2
Set the factor '(1 + 12x)' equal to zero and attempt to solve:

Simplifying
1 + 12x = 0

Solving
1 + 12x = 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 + 12x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 12x = 0 + -1
12x = 0 + -1

Combine like terms: 0 + -1 = -1
12x = -1

Divide each side by '12'.
x = -0.08333333333

Simplifying
x = -0.08333333333
Solution
x = {-10, -0.08333333333}