−8x 2 −8x+1=0?

Sure, let's solve the quadratic equation step by step:

The given equation is: −8x^2 −8x + 1 = 0

Step 1: Divide the entire equation by -8 to simplify it:

x^2 + x - 1/8 = 0

Step 2: Now, let's use the quadratic formula to solve for x. The quadratic formula is x = [-b ± sqrt(b^2 - 4ac)] / 2a. In this equation, a = 1, b = 1, and c = -1/8.

Step 3: Substitute a, b, and c into the quadratic formula:

x = [-1 ± sqrt((1)^2 - 41(-1/8))] / 2*1 x = [-1 ± sqrt(1 + 1/2)] / 2 x = [-1 ± sqrt(1.5)] / 2

Step 4: Simplify the square root:

x = [-1 ± 1.22474487139] / 2

Step 5: Solve for x:

x = [-1 + 1.22474487139] / 2 = 0.112372435695 x = [-1 - 1.22474487139] / 2 = -1.112372435695

So, the solutions to the equation are x = 0.112372435695 and x = -1.112372435695.