mx^2+(m-1)x=0

Solution for mx^2+(m-1)x=0 equation:

Simplifying
mx2 + (m + -1) * x = 0

Reorder the terms:
mx2 + (-1 + m) * x = 0

Reorder the terms for easier multiplication:
mx2 + x(-1 + m) = 0
mx2 + (-1 * x + m * x) = 0

Reorder the terms:
mx2 + (mx + -1x) = 0
mx2 + (mx + -1x) = 0

Reorder the terms:
mx + mx2 + -1x = 0

Solving
mx + mx2 + -1x = 0

Solving for variable 'm'.

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

Add 'x' to each side of the equation.
mx + mx2 + -1x + x = 0 + x

Combine like terms: -1x + x = 0
mx + mx2 + 0 = 0 + x
mx + mx2 = 0 + x
Remove the zero:
mx + mx2 = x

Combine like terms: x + -1x = 0
mx + mx2 + -1x = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(m + mx + -1) = 0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Add '-1x' to each side of the equation.
x + -1x = 0 + -1x
Remove the zero:
0 = -1x

Simplifying
0 = -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(m + mx + -1)' equal to zero and attempt to solve:

Simplifying
m + mx + -1 = 0

Reorder the terms:
-1 + m + mx = 0

Solving
-1 + m + mx = 0

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

Add '1' to each side of the equation.
-1 + m + 1 + mx = 0 + 1

Reorder the terms:
-1 + 1 + m + mx = 0 + 1

Combine like terms: -1 + 1 = 0
0 + m + mx = 0 + 1
m + mx = 0 + 1

Combine like terms: 0 + 1 = 1
m + mx = 1

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.