To solve the quadratic equation by completing the square, follow these steps:
Step 1: Divide the equation by 5
To simplify the equation, divide all terms by 5:
Step 2: Move the constant to the other side
Isolate the x terms:
Step 3: Complete the square
To complete the square, we need to add and subtract the square of half the coefficient of x:
1.The coefficient of x is 6.
2.Half of 6 is 3.
3.Squaring 3 gives:
Now, add 9 to both sides:
Step 4: Simplify the equation
This simplifies to: