Question

Use the x-intercept method to find all real solutions of the equation.

-9x^3 - 72x^2 - 96x + 36 = 3x^3 + x^2 - 3x + 8

Answer 1

here u go

Explanation:

−9x3−72x2−96x+36=3x3+x2−3x+8

Step 1: Subtract 3x^3+x^2-3x+8 from both sides.

−9x3−72x2−96x+36−(3x3+x2−3x+8)=3x3+x2−3x+8−(3x3+x2−3x+8)

−12x3−73x2−93x+28=0

Step 2: Factor left side of equation.

(−4x+1)(x+4)(3x+7)=0

Step 3: Set factors equal to 0.

−4x+1=0 or x+4=0 or 3x+7=0x=14 or x=−4 or x=−73

Answer:

x=14 or x=−4 or x=−73