60x^2+19x+1=0

Solution for 60x^2+19x+1=0 equation:

Simplifying
60x2 + 19x + 1 = 0

Reorder the terms:
1 + 19x + 60x2 = 0

Solving
1 + 19x + 60x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + 4x)(1 + 15x) = 0

Subproblem 1
Set the factor '(1 + 4x)' equal to zero and attempt to solve:

Simplifying
1 + 4x = 0

Solving
1 + 4x = 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 + 4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4x = 0 + -1
4x = 0 + -1

Combine like terms: 0 + -1 = -1
4x = -1

Divide each side by '4'.
x = -0.25

Simplifying
x = -0.25
Subproblem 2
Set the factor '(1 + 15x)' equal to zero and attempt to solve:

Simplifying
1 + 15x = 0

Solving
1 + 15x = 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 + 15x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 15x = 0 + -1
15x = 0 + -1

Combine like terms: 0 + -1 = -1
15x = -1

Divide each side by '15'.
x = -0.06666666667

Simplifying
x = -0.06666666667
Solution
x = {-0.25, -0.06666666667}