2m(3m-5)=11m

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Solution for 2m(3m-5)=11m equation: 


Simplifying
2m(3m + -5) = 11m

Reorder the terms:
2m(-5 + 3m) = 11m
(-5 * 2m + 3m * 2m) = 11m
(-10m + 6m2) = 11m

Solving
-10m + 6m2 = 11m

Solving for variable 'm'.

Reorder the terms:
-10m + -11m + 6m2 = 11m + -11m

Combine like terms: -10m + -11m = -21m
-21m + 6m2 = 11m + -11m

Combine like terms: 11m + -11m = 0
-21m + 6m2 = 0

Factor out the Greatest Common Factor (GCF), '3m'.
3m(-7 + 2m) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'm' equal to zero and attempt to solve:

Simplifying
m = 0

Solving
m = 0

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

Simplifying
m = 0

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

Simplifying
-7 + 2m = 0

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

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

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

Divide each side by '2'.
m = 3.5

Simplifying
m = 3.5
Solution
m = {0, 3.5}

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