What’s the answer for this picture problem

x = 2/9

Step-by-step explanation:

1. -5x = -10/9 (original equation)

2. -5x*9 = (-10/9)*9 (multiply both sides by 9)

-45x = -10

3. -45x/-45 = -10/-45 (divide both sides by -45)

x = 10/45 (note that a negative number divided by a negative number is positive)

4. x = 2/9 (divide the numerator and denominator by 5 to simplify)

Therefor x = 2/9

the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

the root or roots of a polynomial are the values of the variable that makes the polynomial equal to 0. we can find the roots of a polynomial making the expression equal to 0 and then, isolating the variable (it it has just one variable).

for example, given the following polynomial:

the root or zero of the polynomial, can be found by making the expression equal to 0, and then, isolating the variable, so, finding the root we have:

therefore, we have that the root of the polynomial is equal to 2.

we must remember that the number of roots that a polynomial can have, will depend on the degree of the polynomial, a first degree polynomial have will have one single root, a second degree polynomial (quadratic expression) may have two roots and so.

hence the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

have a nice day!