4m^2+7m=0

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Solution for 4m^2+7m=0 equation: 


Simplifying
4m2 + 7m = 0

Reorder the terms:
7m + 4m2 = 0

Solving
7m + 4m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(7 + 4m) = 0


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 + 4m)' equal to zero and attempt to solve:

Simplifying
7 + 4m = 0

Solving
7 + 4m = 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 + 4m = 0 + -7

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

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

Divide each side by '4'.
m = -1.75

Simplifying
m = -1.75
Solution
m = {0, -1.75}

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