(20x-6)(x-3)=

Solution for (20x-6)(x-3)= equation:

Simplifying
(20x + -6)(x + -3) = 0

Reorder the terms:
(-6 + 20x)(x + -3) = 0

Reorder the terms:
(-6 + 20x)(-3 + x) = 0

Multiply (-6 + 20x) * (-3 + x)
(-6(-3 + x) + 20x * (-3 + x)) = 0
((-3 * -6 + x * -6) + 20x * (-3 + x)) = 0
((18 + -6x) + 20x * (-3 + x)) = 0
(18 + -6x + (-3 * 20x + x * 20x)) = 0
(18 + -6x + (-60x + 20x2)) = 0

Combine like terms: -6x + -60x = -66x
(18 + -66x + 20x2) = 0

Solving
18 + -66x + 20x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(9 + -33x + 10x2) = 0

Factor a trinomial.
2((3 + -10x)(3 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(3 + -10x)' equal to zero and attempt to solve:

Simplifying
3 + -10x = 0

Solving
3 + -10x = 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 + -10x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -10x = 0 + -3
-10x = 0 + -3

Combine like terms: 0 + -3 = -3
-10x = -3

Divide each side by '-10'.
x = 0.3

Simplifying
x = 0.3
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 = {0.3, 3}