64x^2+34x+1=0

Solution for 64x^2+34x+1=0 equation:

Simplifying
64x2 + 34x + 1 = 0

Reorder the terms:
1 + 34x + 64x2 = 0

Solving
1 + 34x + 64x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + 2x)(1 + 32x) = 0

Subproblem 1
Set the factor '(1 + 2x)' equal to zero and attempt to solve:

Simplifying
1 + 2x = 0

Solving
1 + 2x = 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 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Subproblem 2
Set the factor '(1 + 32x)' equal to zero and attempt to solve:

Simplifying
1 + 32x = 0

Solving
1 + 32x = 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 + 32x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 32x = 0 + -1
32x = 0 + -1

Combine like terms: 0 + -1 = -1
32x = -1

Divide each side by '32'.
x = -0.03125

Simplifying
x = -0.03125
Solution
x = {-0.5, -0.03125}