E(m)=850m(0.9)t-m

Solution for E(m)=850m(0.9)t-m equation:

Simplifying
E(m) = 850m(0.9) * t + -1m

Multiply E * m
mE = 850m(0.9) * t + -1m

Reorder the terms for easier multiplication:
mE = 850 * 0.9m * t + -1m

Multiply 850 * 0.9
mE = 765m * t + -1m

Multiply m * t
mE = 765mt + -1m

Reorder the terms:
mE = -1m + 765mt

Solving
mE = -1m + 765mt

Solving for variable 'm'.

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

Add 'm' to each side of the equation.
m + mE = -1m + m + 765mt

Combine like terms: -1m + m = 0
m + mE = 0 + 765mt
m + mE = 765mt

Add '-765mt' to each side of the equation.
m + mE + -765mt = 765mt + -765mt

Combine like terms: 765mt + -765mt = 0
m + mE + -765mt = 0

Factor out the Greatest Common Factor (GCF), 'm'.
m(1 + E + -765t) = 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 '(1 + E + -765t)' equal to zero and attempt to solve:

Simplifying
1 + E + -765t = 0

Solving
1 + E + -765t = 0

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

Add '-1' to each side of the equation.
1 + E + -1 + -765t = 0 + -1

Reorder the terms:
1 + -1 + E + -765t = 0 + -1

Combine like terms: 1 + -1 = 0
0 + E + -765t = 0 + -1
E + -765t = 0 + -1

Combine like terms: 0 + -1 = -1
E + -765t = -1

Add '-1E' to each side of the equation.
E + -1E + -765t = -1 + -1E

Combine like terms: E + -1E = 0
0 + -765t = -1 + -1E
-765t = -1 + -1E

Add '765t' to each side of the equation.
-765t + 765t = -1 + -1E + 765t

Combine like terms: -765t + 765t = 0
0 = -1 + -1E + 765t

Simplifying
0 = -1 + -1E + 765t

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
m = {0}