(15x+2)(10x+3)=

Solution for (15x+2)(10x+3)= equation:

Simplifying
(15x + 2)(10x + 3) = 0

Reorder the terms:
(2 + 15x)(10x + 3) = 0

Reorder the terms:
(2 + 15x)(3 + 10x) = 0

Multiply (2 + 15x) * (3 + 10x)
(2(3 + 10x) + 15x * (3 + 10x)) = 0
((3 * 2 + 10x * 2) + 15x * (3 + 10x)) = 0
((6 + 20x) + 15x * (3 + 10x)) = 0
(6 + 20x + (3 * 15x + 10x * 15x)) = 0
(6 + 20x + (45x + 150x2)) = 0

Combine like terms: 20x + 45x = 65x
(6 + 65x + 150x2) = 0

Solving
6 + 65x + 150x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + 10x)(2 + 15x) = 0

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 '(2 + 15x)' equal to zero and attempt to solve:

Simplifying
2 + 15x = 0

Solving
2 + 15x = 0

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

Add '-2' to each side of the equation.
2 + -2 + 15x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 15x = 0 + -2
15x = 0 + -2

Combine like terms: 0 + -2 = -2
15x = -2

Divide each side by '15'.
x = -0.1333333333

Simplifying
x = -0.1333333333
Solution
x = {-0.3, -0.1333333333}