64x^2-60x-4=0

Solution for 64x^2-60x-4=0 equation:

Simplifying
64x2 + -60x + -4 = 0

Reorder the terms:
-4 + -60x + 64x2 = 0

Solving
-4 + -60x + 64x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-1 + -15x + 16x2) = 0

Factor a trinomial.
4((-1 + -16x)(1 + -1x)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-1 + -16x)' equal to zero and attempt to solve:

Simplifying
-1 + -16x = 0

Solving
-1 + -16x = 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 + -16x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -16x = 0 + 1
-16x = 0 + 1

Combine like terms: 0 + 1 = 1
-16x = 1

Divide each side by '-16'.
x = -0.0625

Simplifying
x = -0.0625
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

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

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

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

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {-0.0625, 1}