3x^2-7x-6=0

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

Step 1: Identify the coefficients of the quadratic equation. Here, a = 3, b = -7, and c = -6.

Step 2: Calculate the discriminant using the formula D = b^2 - 4ac. Substituting the values, we get D = (-7)^2 - 43(-6) = 49 + 72 = 121.

Step 3: Find the roots of the equation using the formula x = [-b ± sqrt(D)] / 2a.

For the first root, substitute the values into the formula: x1 = [7 + sqrt(121)] / 2*3 = [7 + 11] / 6 = 18 / 6 = 3.

For the second root, substitute the values into the formula: x2 = [7 - sqrt(121)] / 2*3 = [7 - 11] / 6 = -4 / 6 = -2/3.

So, the solutions to the equation 3x^2 - 7x - 6 = 0 are x = 3 and x = -2/3.