3p=p(1+i)

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Solution for 3p=p(1+i) equation: 


Simplifying
3p = p(1 + i)
3p = (1 * p + i * p)

Reorder the terms:
3p = (ip + 1p)
3p = (ip + 1p)

Solving
3p = ip + 1p

Solving for variable 'p'.

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

Add '-1ip' to each side of the equation.
-1ip + 3p = ip + -1ip + 1p

Combine like terms: ip + -1ip = 0
-1ip + 3p = 0 + 1p
-1ip + 3p = 1p

Add '-1p' to each side of the equation.
-1ip + 3p + -1p = 1p + -1p

Combine like terms: 3p + -1p = 2p
-1ip + 2p = 1p + -1p

Combine like terms: 1p + -1p = 0
-1ip + 2p = 0

Factor out the Greatest Common Factor (GCF), 'p'.
p(-1i + 2) = 0


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

Simplifying
p = 0

Solving
p = 0

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

Simplifying
p = 0

Subproblem 2
Set the factor '(-1i + 2)' equal to zero and attempt to solve:

Simplifying
-1i + 2 = 0

Reorder the terms:
2 + -1i = 0

Solving
2 + -1i = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1i = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1i = 0 + -2
-1i = 0 + -2

Combine like terms: 0 + -2 = -2
-1i = -2

Add 'i' to each side of the equation.
-1i + i = -2 + i

Combine like terms: -1i + i = 0
0 = -2 + i

Simplifying
0 = -2 + i

The solution to this equation could not be determined.

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

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