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x² - 9x - 9 = 0

Explanation:
The standard form of the quadratic equation is:
ax² + bx + c = 0

This means that we would need all the terms on one side of the equation and a zero on the other.

This can be done as follows:
x² - 6x - 7 = 3x + 2
Subtract (3x+2) from both sides as follows:
x² - 6x - 7 = 3x + 2
x² - 6x - 7 - 3x - 2 = 3x + 2 - 3x - 2
x² - 6x - 7 - 3x - 2 = 0
Now, combine like terms to get the final expression in standard form:
x² - 9x - 9 = 0

Hope this helps :)

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

when multiplying or dividing by a negative on both sides you have to flip the inequality sign. this rule only applies to multiplying or dividing by a negative number in inequality equations. this rule is really important.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice