−3r 2 −r−10=−4r 2

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

Given equation: −3r^2 − r − 10 = −4r^2

Step 1: Add 4r^2 to both sides to get rid of the negative sign on the right side of the equation. This gives us:

r^2 - r - 10 = 0

Step 2: Now, we need to factor the quadratic equation. We are looking for two numbers that multiply to -10 and add to -1. The numbers -5 and 2 fit these conditions. So, we can write the equation as:

(r - 5)(r + 2) = 0

Step 3: Set each factor equal to zero and solve for r:

r - 5 = 0 => r = 5

r + 2 = 0 => r = -2

So, the solutions to the equation are r = 5 and r = -2.