4(5x-1)(x-3)=0

Solution for 4(5x-1)(x-3)=0 equation:

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

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

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

Multiply (-1 + 5x) * (-3 + x)
4(-1(-3 + x) + 5x * (-3 + x)) = 0
4((-3 * -1 + x * -1) + 5x * (-3 + x)) = 0
4((3 + -1x) + 5x * (-3 + x)) = 0
4(3 + -1x + (-3 * 5x + x * 5x)) = 0
4(3 + -1x + (-15x + 5x2)) = 0

Combine like terms: -1x + -15x = -16x
4(3 + -16x + 5x2) = 0
(3 * 4 + -16x * 4 + 5x2 * 4) = 0
(12 + -64x + 20x2) = 0

Solving
12 + -64x + 20x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(3 + -16x + 5x2) = 0

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

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

Simplifying
1 + -5x = 0

Solving
1 + -5x = 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 + -5x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5x = 0 + -1
-5x = 0 + -1

Combine like terms: 0 + -1 = -1
-5x = -1

Divide each side by '-5'.
x = 0.2

Simplifying
x = 0.2
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {0.2, 3}