7m(m-2)=4(2-m)

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Solution for 7m(m-2)=4(2-m) equation: 


Simplifying
7m(m + -2) = 4(2 + -1m)

Reorder the terms:
7m(-2 + m) = 4(2 + -1m)
(-2 * 7m + m * 7m) = 4(2 + -1m)
(-14m + 7m2) = 4(2 + -1m)
-14m + 7m2 = (2 * 4 + -1m * 4)
-14m + 7m2 = (8 + -4m)

Solving
-14m + 7m2 = 8 + -4m

Solving for variable 'm'.

Reorder the terms:
-8 + -14m + 4m + 7m2 = 8 + -4m + -8 + 4m

Combine like terms: -14m + 4m = -10m
-8 + -10m + 7m2 = 8 + -4m + -8 + 4m

Reorder the terms:
-8 + -10m + 7m2 = 8 + -8 + -4m + 4m

Combine like terms: 8 + -8 = 0
-8 + -10m + 7m2 = 0 + -4m + 4m
-8 + -10m + 7m2 = -4m + 4m

Combine like terms: -4m + 4m = 0
-8 + -10m + 7m2 = 0

Factor a trinomial.
(-4 + -7m)(2 + -1m) = 0


Subproblem 1
Set the factor '(-4 + -7m)' equal to zero and attempt to solve:

Simplifying
-4 + -7m = 0

Solving
-4 + -7m = 0

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

Add '4' to each side of the equation.
-4 + 4 + -7m = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -7m = 0 + 4
-7m = 0 + 4

Combine like terms: 0 + 4 = 4
-7m = 4

Divide each side by '-7'.
m = -0.5714285714

Simplifying
m = -0.5714285714

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 = {-0.5714285714, 2}

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