After Tarquin, the Romans set up a republic because: voting on representatives balances the people's voice with the wisdom of experienced leaders,

all power should rest in the hands of the people,

only the wealthy and highly educated are qualified to make decisions,

A monarch can rule more efficiently.

voting on representatives balances the people's voice with the wisdom of experienced leaders.

Explanation:

In 509B.C.E was a period of transition in Rome when a radical party of patricians rebelled against the King Lucius Tarquinius Superbusg and power was vested in the hands of the Senate. Therefore monarchy was replaced by a republic where several elected representatives worked for the interest of its people. However, it should be noted here that from 485 BC onwards the patricians no longer permitted the common people of Rome to engage in the government and started to dominate all religious and civil affairs.

answer

explanation

the given equation is

we can rewrite this as:

let

then the equation becomes:

the factors of 8 that sum up to -9 are {-1,-8}

we split the middle term with these factors to obtain,

we factor by grouping to obtain:

apply the zero product property to get:

but

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