39x^2-23x-62=0

Solution for 39x^2-23x-62=0 equation:

Simplifying
39x2 + -23x + -62 = 0

Reorder the terms:
-62 + -23x + 39x2 = 0

Solving
-62 + -23x + 39x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -1x)(62 + -39x) = 0

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

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

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

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

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

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

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

Simplifying
x = -1
Subproblem 2
Set the factor '(62 + -39x)' equal to zero and attempt to solve:

Simplifying
62 + -39x = 0

Solving
62 + -39x = 0

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

Add '-62' to each side of the equation.
62 + -62 + -39x = 0 + -62

Combine like terms: 62 + -62 = 0
0 + -39x = 0 + -62
-39x = 0 + -62

Combine like terms: 0 + -62 = -62
-39x = -62

Divide each side by '-39'.
x = 1.58974359

Simplifying
x = 1.58974359
Solution
x = {-1, 1.58974359}