(1+x)(2+15x)=0

Solution for (1+x)(2+15x)=0 equation:

Simplifying
(1 + x)(2 + 15x) = 0

Multiply (1 + x) * (2 + 15x)
(1(2 + 15x) + x(2 + 15x)) = 0
((2 * 1 + 15x * 1) + x(2 + 15x)) = 0
((2 + 15x) + x(2 + 15x)) = 0
(2 + 15x + (2 * x + 15x * x)) = 0
(2 + 15x + (2x + 15x2)) = 0

Combine like terms: 15x + 2x = 17x
(2 + 17x + 15x2) = 0

Solving
2 + 17x + 15x2 = 0

Solving for variable 'x'.

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

Subproblem 1
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

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

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

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

Simplifying
x = -1
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 = {-1, -0.1333333333}