7x(x+6)-6x-36=0

Solution for 7x(x+6)-6x-36=0 equation:

Simplifying
7x(x + 6) + -6x + -36 = 0

Reorder the terms:
7x(6 + x) + -6x + -36 = 0
(6 * 7x + x * 7x) + -6x + -36 = 0
(42x + 7x2) + -6x + -36 = 0

Reorder the terms:
-36 + 42x + -6x + 7x2 = 0

Combine like terms: 42x + -6x = 36x
-36 + 36x + 7x2 = 0

Solving
-36 + 36x + 7x2 = 0

Solving for variable 'x'.

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

Subproblem 1
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
Subproblem 2
Set the factor '(6 + -7x)' equal to zero and attempt to solve:

Simplifying
6 + -7x = 0

Solving
6 + -7x = 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 + -7x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -7x = 0 + -6
-7x = 0 + -6

Combine like terms: 0 + -6 = -6
-7x = -6

Divide each side by '-7'.
x = 0.8571428571

Simplifying
x = 0.8571428571
Solution
x = {-6, 0.8571428571}