Divide (15x^2+x-8) / (3x-1)

Simplifying - 15x2 + - 2x + 8 = 0

Reorder the terms: 8 + - 2x + - 15x2 = 0 Solving 8 + - 2x + - 15x2 = 0 Solving for variable 'x'.

Factor a trinomial. (2 + - 3x) (4 + 5x) = 0 Subproblem 1Set the factor ' (2 + - 3x) ' equal to zero and attempt to solve:

Simplifying 2 + - 3x = 0 Solving 2 + - 3x = 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 + - 3x = 0 + - 2

Combine like terms: 2 + - 2 = 0 0 + - 3x = 0 + - 2 - 3x = 0 + - 2

Combine like terms: 0 + - 2 = - 2 - 3x = - 2

Divide each side by '-3'. x = 0.6666666667

Simplifying x = 0.6666666667

Subproblem 2

Set the factor ' (4 + 5x) ' equal to zero and attempt to solve:

Simplifying 4 + 5x = 0

Solving 4 + 5x = 0

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

Add '-4' to each side of the equation. 4 + - 4 + 5x = 0 + - 4

Combine like terms: 4 + - 4 = 0 0 + 5x = 0 + - 4 5x = 0 + - 4

Combine like terms: 0 + - 4 = - 4 5x = - 4

Divide each side by '5'. x = - 0.8 Simplifying x = - 0.8

Solutionx = {0.6666666667, - 0.8}