-7m^2-60m+27=0

Solution for -7m^2-60m+27=0 equation:

Simplifying
-7m2 + -60m + 27 = 0

Reorder the terms:
27 + -60m + -7m2 = 0

Solving
27 + -60m + -7m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(3 + -7m)(9 + m) = 0

Subproblem 1
Set the factor '(3 + -7m)' equal to zero and attempt to solve:

Simplifying
3 + -7m = 0

Solving
3 + -7m = 0

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

Add '-3' to each side of the equation.
3 + -3 + -7m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7m = 0 + -3
-7m = 0 + -3

Combine like terms: 0 + -3 = -3
-7m = -3

Divide each side by '-7'.
m = 0.4285714286

Simplifying
m = 0.4285714286
Subproblem 2
Set the factor '(9 + m)' equal to zero and attempt to solve:

Simplifying
9 + m = 0

Solving
9 + m = 0

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

Add '-9' to each side of the equation.
9 + -9 + m = 0 + -9

Combine like terms: 9 + -9 = 0
0 + m = 0 + -9
m = 0 + -9

Combine like terms: 0 + -9 = -9
m = -9

Simplifying
m = -9
Solution
m = {0.4285714286, -9}