(6x^2-36x)-(x-6)=

Solution for (6x^2-36x)-(x-6)= equation:

Simplifying
(6x2 + -36x) + -1(x + -6) = 0

Reorder the terms:
(-36x + 6x2) + -1(x + -6) = 0

Remove parenthesis around (-36x + 6x2)
-36x + 6x2 + -1(x + -6) = 0

Reorder the terms:
-36x + 6x2 + -1(-6 + x) = 0
-36x + 6x2 + (-6 * -1 + x * -1) = 0
-36x + 6x2 + (6 + -1x) = 0

Reorder the terms:
6 + -36x + -1x + 6x2 = 0

Combine like terms: -36x + -1x = -37x
6 + -37x + 6x2 = 0

Solving
6 + -37x + 6x2 = 0

Solving for variable 'x'.

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

Subproblem 1
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
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 = {0.1666666667, 6}