5x(x-6)+2(6-x)=

Solution for 5x(x-6)+2(6-x)= equation:

Simplifying
5x(x + -6) + 2(6 + -1x) = 0

Reorder the terms:
5x(-6 + x) + 2(6 + -1x) = 0
(-6 * 5x + x * 5x) + 2(6 + -1x) = 0
(-30x + 5x2) + 2(6 + -1x) = 0
-30x + 5x2 + (6 * 2 + -1x * 2) = 0
-30x + 5x2 + (12 + -2x) = 0

Reorder the terms:
12 + -30x + -2x + 5x2 = 0

Combine like terms: -30x + -2x = -32x
12 + -32x + 5x2 = 0

Solving
12 + -32x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2 + -5x)(6 + -1x) = 0

Subproblem 1
Set the factor '(2 + -5x)' equal to zero and attempt to solve:

Simplifying
2 + -5x = 0

Solving
2 + -5x = 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 + -5x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = 0 + -2
-5x = 0 + -2

Combine like terms: 0 + -2 = -2
-5x = -2

Divide each side by '-5'.
x = 0.4

Simplifying
x = 0.4
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 = {0.4, 6}