64x^2-32x-2=19

Solution for 64x^2-32x-2=19 equation:

Simplifying
64x2 + -32x + -2 = 19

Reorder the terms:
-2 + -32x + 64x2 = 19

Solving
-2 + -32x + 64x2 = 19

Solving for variable 'x'.

Reorder the terms:
-2 + -19 + -32x + 64x2 = 19 + -19

Combine like terms: -2 + -19 = -21
-21 + -32x + 64x2 = 19 + -19

Combine like terms: 19 + -19 = 0
-21 + -32x + 64x2 = 0

Factor a trinomial.
(-3 + -8x)(7 + -8x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(7 + -8x)' equal to zero and attempt to solve:

Simplifying
7 + -8x = 0

Solving
7 + -8x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -8x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -8x = 0 + -7
-8x = 0 + -7

Combine like terms: 0 + -7 = -7
-8x = -7

Divide each side by '-8'.
x = 0.875

Simplifying
x = 0.875
Solution
x = {-0.375, 0.875}