80m^2=(2+m)(m)

Solution for 80m^2=(2+m)(m) equation:

Simplifying
80m2 = (2 + m)(m)

Reorder the terms for easier multiplication:
80m2 = m(2 + m)
80m2 = (2 * m + m * m)
80m2 = (2m + m2)

Solving
80m2 = 2m + m2

Solving for variable 'm'.

Reorder the terms:
-2m + 80m2 + -1m2 = 2m + m2 + -2m + -1m2

Combine like terms: 80m2 + -1m2 = 79m2
-2m + 79m2 = 2m + m2 + -2m + -1m2

Reorder the terms:
-2m + 79m2 = 2m + -2m + m2 + -1m2

Combine like terms: 2m + -2m = 0
-2m + 79m2 = 0 + m2 + -1m2
-2m + 79m2 = m2 + -1m2

Combine like terms: m2 + -1m2 = 0
-2m + 79m2 = 0

Factor out the Greatest Common Factor (GCF), 'm'.
m(-2 + 79m) = 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 '(-2 + 79m)' equal to zero and attempt to solve:

Simplifying
-2 + 79m = 0

Solving
-2 + 79m = 0

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

Add '2' to each side of the equation.
-2 + 2 + 79m = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 79m = 0 + 2
79m = 0 + 2

Combine like terms: 0 + 2 = 2
79m = 2

Divide each side by '79'.
m = 0.0253164557

Simplifying
m = 0.0253164557
Solution
m = {0, 0.0253164557}