What are the roots of the polynomial equation x^3-10x=-3x^2+24

Let's solve your equation step-by-step.

x3−10x=−3x2+24

Step 1: Subtract -3x^2+24 from both sides.

x3−10x−(−3x2+24)=−3x2+24−(−3x2+24)

x3+3x2−10x−24=0

Step 2: Factor left side of equation.

(x+2)(x−3)(x+4)=0

Step 3: Set factors equal to 0.

x+2=0 or x−3=0 or x+4=0

x=−2 or x=3 or x=−4



x=−2 or x=3 or x=−4