−5x 2 −80x−140=0

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

The given equation is: −5x^2 −80x−140=0

Step 1: Divide the entire equation by -5 to simplify it. This gives us: x^2 + 16x + 28 = 0

Step 2: Now, we need to solve for x. We can do this by using the quadratic formula, which is x = [-b ± sqrt(b^2 - 4ac)] / 2a. In this equation, a = 1, b = 16, and c = 28.

Step 3: Substitute a, b, and c into the quadratic formula: x = [-16 ± sqrt((16)^2 - 4128)] / 2*1 x = [-16 ± sqrt(256 - 112)] / 2 x = [-16 ± sqrt(144)] / 2 x = [-16 ± 12] / 2

Step 4: Solve for x: x = [-16 + 12] / 2 = -2 x = [-16 - 12] / 2 = -14

So, the solutions to the equation are x = -2 and x = -14.