3p+2z+1=p(-2z-1)

Solution for 3p+2z+1=p(-2z-1) equation:

Simplifying
3p + 2z + 1 = p(-2z + -1)

Reorder the terms:
1 + 3p + 2z = p(-2z + -1)

Reorder the terms:
1 + 3p + 2z = p(-1 + -2z)
1 + 3p + 2z = (-1 * p + -2z * p)
1 + 3p + 2z = (-1p + -2pz)

Solving
1 + 3p + 2z = -1p + -2pz

Solving for variable 'p'.

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

Add 'p' to each side of the equation.
1 + 3p + p + 2z = -1p + p + -2pz

Combine like terms: 3p + p = 4p
1 + 4p + 2z = -1p + p + -2pz

Combine like terms: -1p + p = 0
1 + 4p + 2z = 0 + -2pz
1 + 4p + 2z = -2pz

Add '2pz' to each side of the equation.
1 + 4p + 2pz + 2z = -2pz + 2pz

Combine like terms: -2pz + 2pz = 0
1 + 4p + 2pz + 2z = 0

Add '-1' to each side of the equation.
1 + 4p + 2pz + -1 + 2z = 0 + -1

Reorder the terms:
1 + -1 + 4p + 2pz + 2z = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4p + 2pz + 2z = 0 + -1
4p + 2pz + 2z = 0 + -1

Combine like terms: 0 + -1 = -1
4p + 2pz + 2z = -1

Add '-2z' to each side of the equation.
4p + 2pz + 2z + -2z = -1 + -2z

Combine like terms: 2z + -2z = 0
4p + 2pz + 0 = -1 + -2z
4p + 2pz = -1 + -2z

Reorder the terms:
1 + 4p + 2pz + 2z = -1 + -2z + 1 + 2z

Reorder the terms:
1 + 4p + 2pz + 2z = -1 + 1 + -2z + 2z

Combine like terms: -1 + 1 = 0
1 + 4p + 2pz + 2z = 0 + -2z + 2z
1 + 4p + 2pz + 2z = -2z + 2z

Combine like terms: -2z + 2z = 0
1 + 4p + 2pz + 2z = 0

The solution to this equation could not be determined.