X^2- 20x = -2x – 80In (x+a)^2=b form please hurry

Completing Squares

It's given the following equation:

We are required to express the equation in the form:

The first step is sending all the variables to the left side of the equation.

Adding 2x:

To complete squares, we need to recall the following identity:

The expression on the left side is missing the third term to be a perfect square. Note that comparing

p=x

2pq = -18x

This means that

q = -18x/2p

q = -18x/2x

q = -9

Now we know the value of the second term, we need to add q^2=81:

The left side of the equation is the square of x-9, and the right side can be calculated:

Now we have the required expression, where a=-9 and b = 1

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step-by-step explanation: