15x^2-2x-64=0

Solution for 15x^2-2x-64=0 equation:

Simplifying
15x2 + -2x + -64 = 0

Reorder the terms:
-64 + -2x + 15x2 = 0

Solving
-64 + -2x + 15x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -1x)(32 + -15x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(32 + -15x)' equal to zero and attempt to solve:

Simplifying
32 + -15x = 0

Solving
32 + -15x = 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 + -15x = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -15x = 0 + -32
-15x = 0 + -32

Combine like terms: 0 + -32 = -32
-15x = -32

Divide each side by '-15'.
x = 2.133333333

Simplifying
x = 2.133333333
Solution
x = {-2, 2.133333333}