Question

(3x + 10) (x + 50) (5x - 9) = 180​

Answer 1

(3x+10)(x+50)(5x−9)=180

15x3+773x2+1060x−4500=180

Step 1: Subtract 180 from both sides.

15x3+773x2+1060x−4500−180=180−180

15x3+773x2+1060x−4680=0

Step 2: Use cubic formula.

x=−49.9,−3.3

Answer 2

Answer:

$15x^{3} +773x^{2} +1060x-4680=0$

Step-by-step explanation:

Given : $(3x+10)(x+50)(5x-9)=180$

To find : simplify the equation

Solution :

The given expression is

$(3x+10)(x+50)(5x-9)=180$

On doing multiplication, we get

$[(3x+10)(x+50)](5x-9)=180$

∴ $(3x^{2} +150x+10x+500)(5x-9)=180$

∴ $15x^{3}+750x^{2} +50x^{2} +2500x-27x^{2} -1350x-90x-4500=180$

Now, adding like terms, we get

∴ $15x^{3}+773x^{2} +1060x-4500=180$

∴ $15x^{3}+773x^{2} +1060x-4500-180=0$

∴ $15x^{3} +773x^{2} +1060x-4680=0$