which are steps in the process of completing the square used to solve the equation 3-4x=5xsquared - 14x?

Step-by-step explanation:

The first step in completing the square is to make the leading coefficient 1.

3 - 4x = 5x² - 14x

First, add 4x to both sides.

3 = 5x² - 10x

Divide both sides by 5.

3/5 = x² - 2x

The next step is to create the square. Take half of - 2, square it, then add the result to both sides. (-2/2) ² = 1.

3/5 + 1 = x² - 2x + 1

8/5 = x² - 2x + 1

Finally, factor the perfect square and solve for x.

8/5 = (x - 1) ²

Take the square root of both sides.

±√ (8/5) = x - 1

Add 1 to both sides.

x = 1 ± √ (8/5)