Step 1 :Step 1: Divide every term by 2 to simplify the equation. This gives us \(x^2 - 4x - 5 = 0\).
Step 2 :Step 2: Rearrange the equation to isolate the square terms on one side: \(x^2 - 4x = 5\).
Step 3 :Step 3: Complete the square on the left side of the equation by adding the square of half the coefficient of x to both sides of the equation. This gives us \((x - 2)^2 = 9\).
Step 4 :Step 4: Take the square root of both sides to solve for x. This gives us two possible solutions: \(x - 2 = 3\) or \(x - 2 = -3\).
Step 5 :Step 5: Solve each equation for x to get the zeros of the original quadratic equation. This gives us \(x = 2 + 3\) or \(x = 2 - 3\).