0=64x^2+16x-3

Solution for 0=64x^2+16x-3 equation:

Simplifying
0 = 64x2 + 16x + -3

Reorder the terms:
0 = -3 + 16x + 64x2

Solving
0 = -3 + 16x + 64x2

Solving for variable 'x'.

Combine like terms: 0 + 3 = 3
3 + -16x + -64x2 = -3 + 16x + 64x2 + 3 + -16x + -64x2

Reorder the terms:
3 + -16x + -64x2 = -3 + 3 + 16x + -16x + 64x2 + -64x2

Combine like terms: -3 + 3 = 0
3 + -16x + -64x2 = 0 + 16x + -16x + 64x2 + -64x2
3 + -16x + -64x2 = 16x + -16x + 64x2 + -64x2

Combine like terms: 16x + -16x = 0
3 + -16x + -64x2 = 0 + 64x2 + -64x2
3 + -16x + -64x2 = 64x2 + -64x2

Combine like terms: 64x2 + -64x2 = 0
3 + -16x + -64x2 = 0

Factor a trinomial.
(1 + -8x)(3 + 8x) = 0

Subproblem 1
Set the factor '(1 + -8x)' equal to zero and attempt to solve:

Simplifying
1 + -8x = 0

Solving
1 + -8x = 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 + -8x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -8x = 0 + -1
-8x = 0 + -1

Combine like terms: 0 + -1 = -1
-8x = -1

Divide each side by '-8'.
x = 0.125

Simplifying
x = 0.125
Subproblem 2
Set the factor '(3 + 8x)' equal to zero and attempt to solve:

Simplifying
3 + 8x = 0

Solving
3 + 8x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + 8x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 8x = 0 + -3
8x = 0 + -3

Combine like terms: 0 + -3 = -3
8x = -3

Divide each side by '8'.
x = -0.375

Simplifying
x = -0.375
Solution
x = {0.125, -0.375}