need help with step by step. thanks. x(x+4)(x−1)=2x(x+4)


Question and Answers Forum

All Questions Topic List
Algebra Questions
Previous in All Question Next in All Question
Previous in Algebra Next in Algebra
Question Number 7234 by WagST last updated on 17/Aug/16

$n e e d h e l p w i t h s t e p b y s t e p . t h a n k s .$ $x (x + 4) (x - 1) = 2 x (x + 4)$
	Answered by Yozzia last updated on 17/Aug/16

	$x (x + 4) (x - 1) = 2 x (x + 4) ()$ $A d d i n g - 2 x (x + 4) o n b o t h s i d e s o f () g i v e s$ $x (x + 4) (x - 1) - 2 x (x + 4) = 2 x (x + 4) - 2 x (x + 4)$ $∵ 2 x (x + 4) - 2 x (x + 4) = 0$ $∴ x (x + 4) (x - 1) - 2 x (x + 4) = 0$ $B y t h e d i s t r i b u t i v e l a w a (b + c) = a b + b c$ $\Rightarrow x (x + 4) [(x - 1) - 2] = 0$ $\Rightarrow x (x + 4) [x - 3] = 0$ $N o w, i n g e n e r a l, a p r o d u c t a \times b \times c \times . . . \times z = 0$ $i f f a t l e a s t o n e o f a, b, c, . . ., z i s z e r o .$ $H e n c e f o r x (x + 4) (x - 3) = 0 a t l e a s t$ $o n e o f x, (x + 4) o r (x - 3) i s z e r o .$ $∴ x = 0 o r x = - 4 o r x = 3 .$
Terms of Service
Privacy Policy
Contact: info@tinkutara.com

Question and Answers Forum