(-5x+3)(-x+6)=0

Solution for (-5x+3)(-x+6)=0 equation:

Simplifying
(-5x + 3)(-1x + 6) = 0

Reorder the terms:
(3 + -5x)(-1x + 6) = 0

Reorder the terms:
(3 + -5x)(6 + -1x) = 0

Multiply (3 + -5x) * (6 + -1x)
(3(6 + -1x) + -5x * (6 + -1x)) = 0
((6 * 3 + -1x * 3) + -5x * (6 + -1x)) = 0
((18 + -3x) + -5x * (6 + -1x)) = 0
(18 + -3x + (6 * -5x + -1x * -5x)) = 0
(18 + -3x + (-30x + 5x2)) = 0

Combine like terms: -3x + -30x = -33x
(18 + -33x + 5x2) = 0

Solving
18 + -33x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + -5x)(6 + -1x) = 0

Subproblem 1
Set the factor '(3 + -5x)' equal to zero and attempt to solve:

Simplifying
3 + -5x = 0

Solving
3 + -5x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -5x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5x = 0 + -3
-5x = 0 + -3

Combine like terms: 0 + -3 = -3
-5x = -3

Divide each side by '-5'.
x = 0.6

Simplifying
x = 0.6
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 = {0.6, 6}