Solve the equation using factoring or the quadratic formula, whichever is appropriate. Make sure to simplify your answers.0.02⁢𝑥2-0.08⁢𝑥+0.02=0𝑥=,

To solve the quadratic equation 0.02x² - 0.08x + 0.02 = 0, we can use the quadratic formula, which is x = [-b ± sqrt(b² - 4ac)] / 2a.

Here, a = 0.02, b = -0.08, and c = 0.02.

Step 1: Calculate the discriminant, which is b² - 4ac. Discriminant = (-0.08)² - 40.020.02 = 0.0064 - 0.0016 = 0.0048.

Step 2: Substitute a, b, and the discriminant into the quadratic formula. x = [0.08 ± sqrt(0.0048)] / (2 * 0.02) x = [0.08 ± 0.0693] / 0.04

Step 3: Solve for x. x₁ = (0.08 + 0.0693) / 0.04 = 3.732 x₂ = (0.08 - 0.0693) / 0.04 = 0.268

So, the solutions to the equation 0.02x² - 0.08x + 0.02 = 0 are x = 3.732 and x = 0.268.