7x^2-39x-486=0

Solution for 7x^2-39x-486=0 equation:

Simplifying
7x2 + -39x + -486 = 0

Reorder the terms:
-486 + -39x + 7x2 = 0

Solving
-486 + -39x + 7x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-6 + -1x)(81 + -7x) = 0

Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve:

Simplifying
-6 + -1x = 0

Solving
-6 + -1x = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 0 + 6
-1x = 0 + 6

Combine like terms: 0 + 6 = 6
-1x = 6

Divide each side by '-1'.
x = -6

Simplifying
x = -6
Subproblem 2
Set the factor '(81 + -7x)' equal to zero and attempt to solve:

Simplifying
81 + -7x = 0

Solving
81 + -7x = 0

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

Add '-81' to each side of the equation.
81 + -81 + -7x = 0 + -81

Combine like terms: 81 + -81 = 0
0 + -7x = 0 + -81
-7x = 0 + -81

Combine like terms: 0 + -81 = -81
-7x = -81

Divide each side by '-7'.
x = 11.57142857

Simplifying
x = 11.57142857
Solution
x = {-6, 11.57142857}