18m^2-15m=42

Solution for 18m^2-15m=42 equation:

Simplifying
18m2 + -15m = 42

Reorder the terms:
-15m + 18m2 = 42

Solving
-15m + 18m2 = 42

Solving for variable 'm'.

Reorder the terms:
-42 + -15m + 18m2 = 42 + -42

Combine like terms: 42 + -42 = 0
-42 + -15m + 18m2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-14 + -5m + 6m2) = 0

Factor a trinomial.
3((-7 + -6m)(2 + -1m)) = 0

Ignore the factor 3.
Subproblem 1
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
Subproblem 2
Set the factor '(2 + -1m)' equal to zero and attempt to solve:

Simplifying
2 + -1m = 0

Solving
2 + -1m = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1m = 0 + -2
-1m = 0 + -2

Combine like terms: 0 + -2 = -2
-1m = -2

Divide each side by '-1'.
m = 2

Simplifying
m = 2
Solution
m = {-1.166666667, 2}