6x(x+4)-(x+4)=

Solution for 6x(x+4)-(x+4)= equation:

Simplifying
6x(x + 4) + -1(x + 4) = 0

Reorder the terms:
6x(4 + x) + -1(x + 4) = 0
(4 * 6x + x * 6x) + -1(x + 4) = 0
(24x + 6x2) + -1(x + 4) = 0

Reorder the terms:
24x + 6x2 + -1(4 + x) = 0
24x + 6x2 + (4 * -1 + x * -1) = 0
24x + 6x2 + (-4 + -1x) = 0

Reorder the terms:
-4 + 24x + -1x + 6x2 = 0

Combine like terms: 24x + -1x = 23x
-4 + 23x + 6x2 = 0

Solving
-4 + 23x + 6x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-4 + -1x)(1 + -6x) = 0

Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4
Subproblem 2
Set the factor '(1 + -6x)' equal to zero and attempt to solve:

Simplifying
1 + -6x = 0

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

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

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

Divide each side by '-6'.
x = 0.1666666667

Simplifying
x = 0.1666666667
Solution
x = {-4, 0.1666666667}