3x=(2x-1)(m+4)forx

Solution for 3x=(2x-1)(m+4)forx equation:

Simplifying
3x = (2x + -1)(m + 4) * forx

Reorder the terms:
3x = (-1 + 2x)(m + 4) * forx

Reorder the terms:
3x = (-1 + 2x)(4 + m) * forx

Reorder the terms for easier multiplication:
3x = forx(-1 + 2x)(4 + m)

Multiply (-1 + 2x) * (4 + m)
3x = forx(-1(4 + m) + 2x * (4 + m))
3x = forx((4 * -1 + m * -1) + 2x * (4 + m))
3x = forx((-4 + -1m) + 2x * (4 + m))
3x = forx(-4 + -1m + (4 * 2x + m * 2x))

Reorder the terms:
3x = forx(-4 + -1m + (2mx + 8x))
3x = forx(-4 + -1m + (2mx + 8x))
3x = forx(-4 + -1m + 2mx + 8x)
3x = (-4 * forx + -1m * forx + 2mx * forx + 8x * forx)

Reorder the terms:
3x = (-1fmorx + 2fmorx2 + -4forx + 8forx2)
3x = (-1fmorx + 2fmorx2 + -4forx + 8forx2)

Solving
3x = -1fmorx + 2fmorx2 + -4forx + 8forx2

Solving for variable 'x'.

Reorder the terms:
fmorx + -2fmorx2 + 4forx + -8forx2 + 3x = -1fmorx + 2fmorx2 + -4forx + 8forx2 + fmorx + -2fmorx2 + 4forx + -8forx2

Reorder the terms:
fmorx + -2fmorx2 + 4forx + -8forx2 + 3x = -1fmorx + fmorx + 2fmorx2 + -2fmorx2 + -4forx + 4forx + 8forx2 + -8forx2

Combine like terms: -1fmorx + fmorx = 0
fmorx + -2fmorx2 + 4forx + -8forx2 + 3x = 0 + 2fmorx2 + -2fmorx2 + -4forx + 4forx + 8forx2 + -8forx2
fmorx + -2fmorx2 + 4forx + -8forx2 + 3x = 2fmorx2 + -2fmorx2 + -4forx + 4forx + 8forx2 + -8forx2

Combine like terms: 2fmorx2 + -2fmorx2 = 0
fmorx + -2fmorx2 + 4forx + -8forx2 + 3x = 0 + -4forx + 4forx + 8forx2 + -8forx2
fmorx + -2fmorx2 + 4forx + -8forx2 + 3x = -4forx + 4forx + 8forx2 + -8forx2

Combine like terms: -4forx + 4forx = 0
fmorx + -2fmorx2 + 4forx + -8forx2 + 3x = 0 + 8forx2 + -8forx2
fmorx + -2fmorx2 + 4forx + -8forx2 + 3x = 8forx2 + -8forx2

Combine like terms: 8forx2 + -8forx2 = 0
fmorx + -2fmorx2 + 4forx + -8forx2 + 3x = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(fmor + -2fmorx + 4for + -8forx + 3) = 0

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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(fmor + -2fmorx + 4for + -8forx + 3)' equal to zero and attempt to solve:

Simplifying
fmor + -2fmorx + 4for + -8forx + 3 = 0

Reorder the terms:
3 + fmor + -2fmorx + 4for + -8forx = 0

Solving
3 + fmor + -2fmorx + 4for + -8forx = 0

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

Add '-3' to each side of the equation.
3 + fmor + -2fmorx + 4for + -3 + -8forx = 0 + -3

Reorder the terms:
3 + -3 + fmor + -2fmorx + 4for + -8forx = 0 + -3

Combine like terms: 3 + -3 = 0
0 + fmor + -2fmorx + 4for + -8forx = 0 + -3
fmor + -2fmorx + 4for + -8forx = 0 + -3

Combine like terms: 0 + -3 = -3
fmor + -2fmorx + 4for + -8forx = -3

Add '-1fmor' to each side of the equation.
fmor + -2fmorx + 4for + -1fmor + -8forx = -3 + -1fmor

Reorder the terms:
fmor + -1fmor + -2fmorx + 4for + -8forx = -3 + -1fmor

Combine like terms: fmor + -1fmor = 0
0 + -2fmorx + 4for + -8forx = -3 + -1fmor
-2fmorx + 4for + -8forx = -3 + -1fmor

Add '-4for' to each side of the equation.
-2fmorx + 4for + -4for + -8forx = -3 + -1fmor + -4for

Combine like terms: 4for + -4for = 0
-2fmorx + 0 + -8forx = -3 + -1fmor + -4for
-2fmorx + -8forx = -3 + -1fmor + -4for

The solution to this equation could not be determined.

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