(2z+5)(2-i)=0

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Solution for (2z+5)(2-i)=0 equation:


Simplifying
(2z + 5)(2 + -1i) = 0

Reorder the terms:
(5 + 2z)(2 + -1i) = 0

Multiply (5 + 2z) * (2 + -1i)
(5(2 + -1i) + 2z * (2 + -1i)) = 0
((2 * 5 + -1i * 5) + 2z * (2 + -1i)) = 0
((10 + -5i) + 2z * (2 + -1i)) = 0
(10 + -5i + (2 * 2z + -1i * 2z)) = 0

Reorder the terms:
(10 + -5i + (-2iz + 4z)) = 0
(10 + -5i + (-2iz + 4z)) = 0
(10 + -5i + -2iz + 4z) = 0

Solving
10 + -5i + -2iz + 4z = 0

Solving for variable 'i'.

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

Add '-10' to each side of the equation.
10 + -5i + -2iz + -10 + 4z = 0 + -10

Reorder the terms:
10 + -10 + -5i + -2iz + 4z = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -5i + -2iz + 4z = 0 + -10
-5i + -2iz + 4z = 0 + -10

Combine like terms: 0 + -10 = -10
-5i + -2iz + 4z = -10

Add '-4z' to each side of the equation.
-5i + -2iz + 4z + -4z = -10 + -4z

Combine like terms: 4z + -4z = 0
-5i + -2iz + 0 = -10 + -4z
-5i + -2iz = -10 + -4z

Reorder the terms:
10 + -5i + -2iz + 4z = -10 + -4z + 10 + 4z

Reorder the terms:
10 + -5i + -2iz + 4z = -10 + 10 + -4z + 4z

Combine like terms: -10 + 10 = 0
10 + -5i + -2iz + 4z = 0 + -4z + 4z
10 + -5i + -2iz + 4z = -4z + 4z

Combine like terms: -4z + 4z = 0
10 + -5i + -2iz + 4z = 0

The solution to this equation could not be determined.

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