2m(7m-15)=36

Solution for 2m(7m-15)=36 equation:

Simplifying
2m(7m + -15) = 36

Reorder the terms:
2m(-15 + 7m) = 36
(-15 * 2m + 7m * 2m) = 36
(-30m + 14m2) = 36

Solving
-30m + 14m2 = 36

Solving for variable 'm'.

Reorder the terms:
-36 + -30m + 14m2 = 36 + -36

Combine like terms: 36 + -36 = 0
-36 + -30m + 14m2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-18 + -15m + 7m2) = 0

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

Ignore the factor 2.
Subproblem 1
Set the factor '(-6 + -7m)' equal to zero and attempt to solve:

Simplifying
-6 + -7m = 0

Solving
-6 + -7m = 0

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

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

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

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

Divide each side by '-7'.
m = -0.8571428571

Simplifying
m = -0.8571428571
Subproblem 2
Set the factor '(3 + -1m)' equal to zero and attempt to solve:

Simplifying
3 + -1m = 0

Solving
3 + -1m = 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 + -1m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1m = 0 + -3
-1m = 0 + -3

Combine like terms: 0 + -3 = -3
-1m = -3

Divide each side by '-1'.
m = 3

Simplifying
m = 3
Solution
m = {-0.8571428571, 3}