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)

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step-by-step explanation:

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