2*(m-5)-7m*(m-5)=

Solution for 2*(m-5)-7m*(m-5)= equation:

Simplifying
2(m + -5) + -7m(m + -5) = 0

Reorder the terms:
2(-5 + m) + -7m(m + -5) = 0
(-5 * 2 + m * 2) + -7m(m + -5) = 0
(-10 + 2m) + -7m(m + -5) = 0

Reorder the terms:
-10 + 2m + -7m(-5 + m) = 0
-10 + 2m + (-5 * -7m + m * -7m) = 0
-10 + 2m + (35m + -7m2) = 0

Combine like terms: 2m + 35m = 37m
-10 + 37m + -7m2 = 0

Solving
-10 + 37m + -7m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-5 + m)(2 + -7m) = 0

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

Simplifying
-5 + m = 0

Solving
-5 + m = 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 + m = 0 + 5

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

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

Simplifying
m = 5
Subproblem 2
Set the factor '(2 + -7m)' equal to zero and attempt to solve:

Simplifying
2 + -7m = 0

Solving
2 + -7m = 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 + -7m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7m = 0 + -2
-7m = 0 + -2

Combine like terms: 0 + -2 = -2
-7m = -2

Divide each side by '-7'.
m = 0.2857142857

Simplifying
m = 0.2857142857
Solution
m = {5, 0.2857142857}