6x^2-5x-125=0

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Solution for 6x^2-5x-125=0 equation: 


Simplifying
6x2 + -5x + -125 = 0

Reorder the terms:
-125 + -5x + 6x2 = 0

Solving
-125 + -5x + 6x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-25 + -6x)(5 + -1x) = 0


Subproblem 1
Set the factor '(-25 + -6x)' equal to zero and attempt to solve:

Simplifying
-25 + -6x = 0

Solving
-25 + -6x = 0

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

Add '25' to each side of the equation.
-25 + 25 + -6x = 0 + 25

Combine like terms: -25 + 25 = 0
0 + -6x = 0 + 25
-6x = 0 + 25

Combine like terms: 0 + 25 = 25
-6x = 25

Divide each side by '-6'.
x = -4.166666667

Simplifying
x = -4.166666667

Subproblem 2
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
Solution
x = {-4.166666667, 5}

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