15x^2-x-6=230

Solution for 15x^2-x-6=230 equation:

Simplifying
15x2 + -1x + -6 = 230

Reorder the terms:
-6 + -1x + 15x2 = 230

Solving
-6 + -1x + 15x2 = 230

Solving for variable 'x'.

Reorder the terms:
-6 + -230 + -1x + 15x2 = 230 + -230

Combine like terms: -6 + -230 = -236
-236 + -1x + 15x2 = 230 + -230

Combine like terms: 230 + -230 = 0
-236 + -1x + 15x2 = 0

Factor a trinomial.
(-59 + -15x)(4 + -1x) = 0

Subproblem 1
Set the factor '(-59 + -15x)' equal to zero and attempt to solve:

Simplifying
-59 + -15x = 0

Solving
-59 + -15x = 0

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

Add '59' to each side of the equation.
-59 + 59 + -15x = 0 + 59

Combine like terms: -59 + 59 = 0
0 + -15x = 0 + 59
-15x = 0 + 59

Combine like terms: 0 + 59 = 59
-15x = 59

Divide each side by '-15'.
x = -3.933333333

Simplifying
x = -3.933333333
Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 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 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-3.933333333, 4}