(20x+2)(15x+3)=

Solution for (20x+2)(15x+3)= equation:

Simplifying
(20x + 2)(15x + 3) = 0

Reorder the terms:
(2 + 20x)(15x + 3) = 0

Reorder the terms:
(2 + 20x)(3 + 15x) = 0

Multiply (2 + 20x) * (3 + 15x)
(2(3 + 15x) + 20x * (3 + 15x)) = 0
((3 * 2 + 15x * 2) + 20x * (3 + 15x)) = 0
((6 + 30x) + 20x * (3 + 15x)) = 0
(6 + 30x + (3 * 20x + 15x * 20x)) = 0
(6 + 30x + (60x + 300x2)) = 0

Combine like terms: 30x + 60x = 90x
(6 + 90x + 300x2) = 0

Solving
6 + 90x + 300x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(1 + 15x + 50x2) = 0

Factor a trinomial.
6((1 + 5x)(1 + 10x)) = 0

Ignore the factor 6.
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 '(1 + 10x)' equal to zero and attempt to solve:

Simplifying
1 + 10x = 0

Solving
1 + 10x = 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 + 10x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 10x = 0 + -1
10x = 0 + -1

Combine like terms: 0 + -1 = -1
10x = -1

Divide each side by '10'.
x = -0.1

Simplifying
x = -0.1
Solution
x = {-0.2, -0.1}