6x^2+x-145=0

Solution for 6x^2+x-145=0 equation:

Simplifying
6x2 + x + -145 = 0

Reorder the terms:
-145 + x + 6x2 = 0

Solving
-145 + x + 6x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -1x)(29 + -6x) = 0

Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5
Subproblem 2
Set the factor '(29 + -6x)' equal to zero and attempt to solve:

Simplifying
29 + -6x = 0

Solving
29 + -6x = 0

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

Add '-29' to each side of the equation.
29 + -29 + -6x = 0 + -29

Combine like terms: 29 + -29 = 0
0 + -6x = 0 + -29
-6x = 0 + -29

Combine like terms: 0 + -29 = -29
-6x = -29

Divide each side by '-6'.
x = 4.833333333

Simplifying
x = 4.833333333
Solution
x = {-5, 4.833333333}