80m^2+34m=0

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Solution for 80m^2+34m=0 equation: 


Simplifying
80m2 + 34m = 0

Reorder the terms:
34m + 80m2 = 0

Solving
34m + 80m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2m'.
2m(17 + 40m) = 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 '(17 + 40m)' equal to zero and attempt to solve:

Simplifying
17 + 40m = 0

Solving
17 + 40m = 0

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

Add '-17' to each side of the equation.
17 + -17 + 40m = 0 + -17

Combine like terms: 17 + -17 = 0
0 + 40m = 0 + -17
40m = 0 + -17

Combine like terms: 0 + -17 = -17
40m = -17

Divide each side by '40'.
m = -0.425

Simplifying
m = -0.425
Solution
m = {0, -0.425}

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