m(2m-5)+m=2m(m-6)16

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Solution for m(2m-5)+m=2m(m-6)16 equation: 


Simplifying
m(2m + -5) + m = 2m(m + -6) * 16

Reorder the terms:
m(-5 + 2m) + m = 2m(m + -6) * 16
(-5 * m + 2m * m) + m = 2m(m + -6) * 16
(-5m + 2m2) + m = 2m(m + -6) * 16

Reorder the terms:
-5m + m + 2m2 = 2m(m + -6) * 16

Combine like terms: -5m + m = -4m
-4m + 2m2 = 2m(m + -6) * 16

Reorder the terms:
-4m + 2m2 = 2m(-6 + m) * 16

Reorder the terms for easier multiplication:
-4m + 2m2 = 2 * 16m(-6 + m)

Multiply 2 * 16
-4m + 2m2 = 32m(-6 + m)
-4m + 2m2 = (-6 * 32m + m * 32m)
-4m + 2m2 = (-192m + 32m2)

Solving
-4m + 2m2 = -192m + 32m2

Solving for variable 'm'.

Reorder the terms:
-4m + 192m + 2m2 + -32m2 = -192m + 32m2 + 192m + -32m2

Combine like terms: -4m + 192m = 188m
188m + 2m2 + -32m2 = -192m + 32m2 + 192m + -32m2

Combine like terms: 2m2 + -32m2 = -30m2
188m + -30m2 = -192m + 32m2 + 192m + -32m2

Reorder the terms:
188m + -30m2 = -192m + 192m + 32m2 + -32m2

Combine like terms: -192m + 192m = 0
188m + -30m2 = 0 + 32m2 + -32m2
188m + -30m2 = 32m2 + -32m2

Combine like terms: 32m2 + -32m2 = 0
188m + -30m2 = 0

Factor out the Greatest Common Factor (GCF), '2m'.
2m(94 + -15m) = 0

Ignore the factor 2.

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 '(94 + -15m)' equal to zero and attempt to solve:

Simplifying
94 + -15m = 0

Solving
94 + -15m = 0

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

Add '-94' to each side of the equation.
94 + -94 + -15m = 0 + -94

Combine like terms: 94 + -94 = 0
0 + -15m = 0 + -94
-15m = 0 + -94

Combine like terms: 0 + -94 = -94
-15m = -94

Divide each side by '-15'.
m = 6.266666667

Simplifying
m = 6.266666667
Solution
m = {0, 6.266666667}

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