6x(6+4x)=26+x

Solution for 6x(6+4x)=26+x equation:

Simplifying
6x(6 + 4x) = 26 + x
(6 * 6x + 4x * 6x) = 26 + x
(36x + 24x2) = 26 + x

Solving
36x + 24x2 = 26 + x

Solving for variable 'x'.

Reorder the terms:
-26 + 36x + -1x + 24x2 = 26 + x + -26 + -1x

Combine like terms: 36x + -1x = 35x
-26 + 35x + 24x2 = 26 + x + -26 + -1x

Reorder the terms:
-26 + 35x + 24x2 = 26 + -26 + x + -1x

Combine like terms: 26 + -26 = 0
-26 + 35x + 24x2 = 0 + x + -1x
-26 + 35x + 24x2 = x + -1x

Combine like terms: x + -1x = 0
-26 + 35x + 24x2 = 0

Factor a trinomial.
(-2 + -1x)(13 + -24x) = 0

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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2
Subproblem 2
Set the factor '(13 + -24x)' equal to zero and attempt to solve:

Simplifying
13 + -24x = 0

Solving
13 + -24x = 0

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

Add '-13' to each side of the equation.
13 + -13 + -24x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -24x = 0 + -13
-24x = 0 + -13

Combine like terms: 0 + -13 = -13
-24x = -13

Divide each side by '-24'.
x = 0.5416666667

Simplifying
x = 0.5416666667
Solution
x = {-2, 0.5416666667}