−4(5 − 3x) = 12x + 20
a) no solution
eliminate
b) one solution
c) two solutions
d) infinitely many solutions

−4(5 − 3x) = 12x + 20

Solve for x:

First use the Distributive property:

-20 + 12x = 12x +20

Add 20 to both sides:

12x =12x + 40

Now you can't get X by itself, because both sides of the equation have the same quantity of x ( they both have 12x).

This means there is no solution.

For this case we have the following function:

To write in standard form, we follow the following steps:

Step 1:

We solve the binomial squared:

Step 2:

We combine similar terms:

the function, , in standard form is: