Answer:
x=5/2 and x=0
Explanation:
To solve this equation, we first need to get all the terms on one side of the equation by subtracting 3x from both sides:
4x^2 - 7x - 3x = 24
Simplifying, we get:
4x^2 - 10x = 24
Now, we can factor out the GCF (Greatest common factor) on the left side of the equation:
2x(2x-5) = 24
Now we can divide both sides of the equation by 2x(2x-5) to get the solutions for x:
x = 5/2 , x = 0
So the solutions of the equation 4x^2 - 7x = 3x + 24 are x=5/2 and x=0