17x^2-2x-64=0

Solution for 17x^2-2x-64=0 equation:

Simplifying
17x2 + -2x + -64 = 0

Reorder the terms:
-64 + -2x + 17x2 = 0

Solving
-64 + -2x + 17x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-32 + -17x)(2 + -1x) = 0

Subproblem 1
Set the factor '(-32 + -17x)' equal to zero and attempt to solve:

Simplifying
-32 + -17x = 0

Solving
-32 + -17x = 0

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

Add '32' to each side of the equation.
-32 + 32 + -17x = 0 + 32

Combine like terms: -32 + 32 = 0
0 + -17x = 0 + 32
-17x = 0 + 32

Combine like terms: 0 + 32 = 32
-17x = 32

Divide each side by '-17'.
x = -1.882352941

Simplifying
x = -1.882352941
Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

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

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

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-1.882352941, 2}