what if x.0=1 had a solution?

im horrible at mathematics but thought of a cool idea and wanted to share it. what if there was an imaginary number (say ♧) that equaled 1 when multiplied by 0? so for example 5♧ . 0 = 5

afaik every imaginary number loses a property, so maybe this one could lose the property of distribution? to avoid cases like 0 + 0 = 0 -> ♧(0+0) = ♧(0) -> 1=2 ; it cant be distributed

addition would be normal, if ♧ is raised to a power higher than 1 then it has to be multiplied by that amount of zeros (♤² x 0² = 1)

i cant think of any proper uses and it probably doesnt have any in real life, but maybe could be cool in video games? it can for example tank insta-kills (%0 hp) by the clover count to deal raw damage. someone could deal an insta kill but i could put 5 clover spells on myself to receive 5 damage instead

again dont shame me please, i know NOTHING of mathematics, sent this incase someone can think through the idea. have a nice day hopefully peaceful redditors

Author: Limp_Ad_7708