(x-6)(5x-4)=0

Solution for (x-6)(5x-4)=0 equation:

Simplifying
(x + -6)(5x + -4) = 0

Reorder the terms:
(-6 + x)(5x + -4) = 0

Reorder the terms:
(-6 + x)(-4 + 5x) = 0

Multiply (-6 + x) * (-4 + 5x)
(-6(-4 + 5x) + x(-4 + 5x)) = 0
((-4 * -6 + 5x * -6) + x(-4 + 5x)) = 0
((24 + -30x) + x(-4 + 5x)) = 0
(24 + -30x + (-4 * x + 5x * x)) = 0
(24 + -30x + (-4x + 5x2)) = 0

Combine like terms: -30x + -4x = -34x
(24 + -34x + 5x2) = 0

Solving
24 + -34x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4 + -5x)(6 + -1x) = 0

Subproblem 1
Set the factor '(4 + -5x)' equal to zero and attempt to solve:

Simplifying
4 + -5x = 0

Solving
4 + -5x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -5x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5x = 0 + -4
-5x = 0 + -4

Combine like terms: 0 + -4 = -4
-5x = -4

Divide each side by '-5'.
x = 0.8

Simplifying
x = 0.8
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 = {0.8, 6}