(1-x)(5x-6)=0

Solution for (1-x)(5x-6)=0 equation:

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

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

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

Combine like terms: 5x + 6x = 11x
(-6 + 11x + -5x2) = 0

Solving
-6 + 11x + -5x2 = 0

Solving for variable 'x'.

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

Subproblem 1
Set the factor '(-6 + 5x)' equal to zero and attempt to solve:

Simplifying
-6 + 5x = 0

Solving
-6 + 5x = 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 + 5x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = 0 + 6
5x = 0 + 6

Combine like terms: 0 + 6 = 6
5x = 6

Divide each side by '5'.
x = 1.2

Simplifying
x = 1.2
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

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

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

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

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

Simplifying
x = 1
Solution
x = {1.2, 1}