50x^2+15x+1=

Solution for 50x^2+15x+1= equation:

Simplifying
50x2 + 15x + 1 = 0

Reorder the terms:
1 + 15x + 50x2 = 0

Solving
1 + 15x + 50x2 = 0

Solving for variable 'x'.

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

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}