(-7+-3x)(6+-1x)=0

Solution for (-7+-3x)(6+-1x)=0 equation:

Simplifying
(-7 + -3x)(6 + -1x) = 0

Multiply (-7 + -3x) * (6 + -1x)
(-7(6 + -1x) + -3x * (6 + -1x)) = 0
((6 * -7 + -1x * -7) + -3x * (6 + -1x)) = 0
((-42 + 7x) + -3x * (6 + -1x)) = 0
(-42 + 7x + (6 * -3x + -1x * -3x)) = 0
(-42 + 7x + (-18x + 3x2)) = 0

Combine like terms: 7x + -18x = -11x
(-42 + -11x + 3x2) = 0

Solving
-42 + -11x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -3x)(6 + -1x) = 0

Subproblem 1
Set the factor '(-7 + -3x)' equal to zero and attempt to solve:

Simplifying
-7 + -3x = 0

Solving
-7 + -3x = 0

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

Add '7' to each side of the equation.
-7 + 7 + -3x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -3x = 0 + 7
-3x = 0 + 7

Combine like terms: 0 + 7 = 7
-3x = 7

Divide each side by '-3'.
x = -2.333333333

Simplifying
x = -2.333333333
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 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 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-2.333333333, 6}