3(4x-1)(5x-6)=

Solution for 3(4x-1)(5x-6)= equation:

Simplifying
3(4x + -1)(5x + -6) = 0

Reorder the terms:
3(-1 + 4x)(5x + -6) = 0

Reorder the terms:
3(-1 + 4x)(-6 + 5x) = 0

Multiply (-1 + 4x) * (-6 + 5x)
3(-1(-6 + 5x) + 4x * (-6 + 5x)) = 0
3((-6 * -1 + 5x * -1) + 4x * (-6 + 5x)) = 0
3((6 + -5x) + 4x * (-6 + 5x)) = 0
3(6 + -5x + (-6 * 4x + 5x * 4x)) = 0
3(6 + -5x + (-24x + 20x2)) = 0

Combine like terms: -5x + -24x = -29x
3(6 + -29x + 20x2) = 0
(6 * 3 + -29x * 3 + 20x2 * 3) = 0
(18 + -87x + 60x2) = 0

Solving
18 + -87x + 60x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(6 + -29x + 20x2) = 0

Factor a trinomial.
3((1 + -4x)(6 + -5x)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(1 + -4x)' equal to zero and attempt to solve:

Simplifying
1 + -4x = 0

Solving
1 + -4x = 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 + -4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4x = 0 + -1
-4x = 0 + -1

Combine like terms: 0 + -1 = -1
-4x = -1

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25
Subproblem 2
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
Solution
x = {0.25, 1.2}