(2-5i)(p+q)=29i

Solution for (2-5i)(p+q)=29i equation:

Simplifying
(2 + -5i)(p + q) = 29i

Multiply (2 + -5i) * (p + q)
(2(p + q) + -5i * (p + q)) = 29i
((p * 2 + q * 2) + -5i * (p + q)) = 29i
((2p + 2q) + -5i * (p + q)) = 29i
(2p + 2q + (p * -5i + q * -5i)) = 29i
(2p + 2q + (-5ip + -5iq)) = 29i

Reorder the terms:
(-5ip + -5iq + 2p + 2q) = 29i
(-5ip + -5iq + 2p + 2q) = 29i

Solving
-5ip + -5iq + 2p + 2q = 29i

Solving for variable 'i'.

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

Add '-29i' to each side of the equation.
-5ip + -5iq + 2p + -29i + 2q = 29i + -29i

Reorder the terms:
-29i + -5ip + -5iq + 2p + 2q = 29i + -29i

Combine like terms: 29i + -29i = 0
-29i + -5ip + -5iq + 2p + 2q = 0

Add '-2p' to each side of the equation.
-29i + -5ip + -5iq + 2p + -2p + 2q = 0 + -2p

Combine like terms: 2p + -2p = 0
-29i + -5ip + -5iq + 0 + 2q = 0 + -2p
-29i + -5ip + -5iq + 2q = 0 + -2p
Remove the zero:
-29i + -5ip + -5iq + 2q = -2p

Add '-2q' to each side of the equation.
-29i + -5ip + -5iq + 2q + -2q = -2p + -2q

Combine like terms: 2q + -2q = 0
-29i + -5ip + -5iq + 0 = -2p + -2q
-29i + -5ip + -5iq = -2p + -2q

Reorder the terms:
-29i + -5ip + -5iq + 2p + 2q = -2p + 2p + -2q + 2q

Combine like terms: -2p + 2p = 0
-29i + -5ip + -5iq + 2p + 2q = 0 + -2q + 2q
-29i + -5ip + -5iq + 2p + 2q = -2q + 2q

Combine like terms: -2q + 2q = 0
-29i + -5ip + -5iq + 2p + 2q = 0

The solution to this equation could not be determined.