Let's solve your equation step-by-step. 4x^2−7x=3x+24
Step 1: Subtract 3x+24 from both sides.
4x^2−7x−(3x+24)=3x+24−(3x+24)
4x^2−10x−24=0
Step 2: Factor left side of equation.
2(2x+3)(x−4)=0
Step 3: Set factors equal to 0. 2x+3=0 or x−4=0x=−32 or x=4
Answer:x=−3/2 or x=4
Hope this helps!:)