6m^2+23m-35=0

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Solution for 6m^2+23m-35=0 equation: 


Simplifying
6m2 + 23m + -35 = 0

Reorder the terms:
-35 + 23m + 6m2 = 0

Solving
-35 + 23m + 6m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-5 + -1m)(7 + -6m) = 0


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

Simplifying
-5 + -1m = 0

Solving
-5 + -1m = 0

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

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

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

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

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

Simplifying
m = -5

Subproblem 2
Set the factor '(7 + -6m)' equal to zero and attempt to solve:

Simplifying
7 + -6m = 0

Solving
7 + -6m = 0

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

Add '-7' to each side of the equation.
7 + -7 + -6m = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -6m = 0 + -7
-6m = 0 + -7

Combine like terms: 0 + -7 = -7
-6m = -7

Divide each side by '-6'.
m = 1.166666667

Simplifying
m = 1.166666667
Solution
m = {-5, 1.166666667}

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