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.
(-5 + -1x)(25 + -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 '(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
Solution
x = {-5, 4.166666667}

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