Question

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

Answer 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}