I've been helping a ton of people and haven't even asked a question yet! I'm stuck on how to do this, and I could use some help. I'd really appreciate it if someone could help me :)

Answer:
Step-by-step explanation:
Answer to first question = her mistake was that she wrote the constant to be 10 whereas the constant is actually -10 once you rearrange the equation to look like a quadratic equation.
Quadratic equations are written in form of ax^2 + bx + c = 0
You are given x^2 + 3x = 10, first you need to bring the constant c (10) to the left side (by subtracting 10 on both sides).
x^2 + 3x - 10 = 0
c = -10
Answer to second part:
x = 2, -5