100m^2+90m+50mq+30mv=

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Solution for 100m^2+90m+50mq+30mv= equation: 


Simplifying
100m2 + 90m + 50mq + 30mv = 0

Reorder the terms:
90m + 50mq + 30mv + 100m2 = 0

Solving
90m + 50mq + 30mv + 100m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '10m'.
10m(9 + 5q + 3v + 10m) = 0

Ignore the factor 10.

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 '(9 + 5q + 3v + 10m)' equal to zero and attempt to solve:

Simplifying
9 + 5q + 3v + 10m = 0

Reorder the terms:
9 + 10m + 5q + 3v = 0

Solving
9 + 10m + 5q + 3v = 0

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

Add '-9' to each side of the equation.
9 + 10m + 5q + -9 + 3v = 0 + -9

Reorder the terms:
9 + -9 + 10m + 5q + 3v = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 10m + 5q + 3v = 0 + -9
10m + 5q + 3v = 0 + -9

Combine like terms: 0 + -9 = -9
10m + 5q + 3v = -9

Add '-5q' to each side of the equation.
10m + 5q + -5q + 3v = -9 + -5q

Combine like terms: 5q + -5q = 0
10m + 0 + 3v = -9 + -5q
10m + 3v = -9 + -5q

Add '-3v' to each side of the equation.
10m + 3v + -3v = -9 + -5q + -3v

Combine like terms: 3v + -3v = 0
10m + 0 = -9 + -5q + -3v
10m = -9 + -5q + -3v

Divide each side by '10'.
m = -0.9 + -0.5q + -0.3v

Simplifying
m = -0.9 + -0.5q + -0.3v
Solution
m = {0, -0.9 + -0.5q + -0.3v}

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