Answer:
x = 3
Step-by-step explanation:
First, make the equation equal to zero by subtracting 10 from both sides
x² + 5x - 24 = 0
Now we have to factor this
To factor this, we basically have to find two numbers where they multiply to equal -4 and add up to 5
Those numbers are 8 and -3
8 x -3 = -24
8 - 3 = 5
This leads us to this equation: (x + 8)(x - 3) = 0
x - 3 = 0
x + 8 = 0
Isolate the x in both equations
x - 3 = 0
+ 3 + 3
x = 3
x + 8 = 0
- 8 - 8
x = -8
This means x can be 3 or -8 for the equation to be true, but we have to pick the greatest number. So it's 3 since it's the biggest.
