Question

1÷2a+b+2x=1÷2a+1÷b+2x​

Answer 1

Answer:

x = -a & x = $\frac{-b}{2}$

Step-by-step explanation:

• $\frac{1}{2a+b+2x}= \frac{1}{2a} +\frac{1}{b}+ \frac{1}{2x}$

• $\frac{1}{2a+b+2x}- \frac{1}{2x}= \frac{1}{2a} +\frac{1}{b}$

• $\frac{2x}{2x(2a+b+2x)}- \frac{1(2a+b+2x)}{2x(2a+b+2x)}= \frac{b}{2a(b)} +\frac{2a}{b(2a)}$

• $\frac{2x - 2a-b-2x}{4ax + 2bx + 4x^2}=\frac{2a+b}{2ab}$

• $\frac{-2a-b}{4ax + 2bx + 4x^2}=\frac{2a+b}{2ab}$

• $\frac{(-1)(2a+b)}{4ax + 2bx + 4x^2}=\frac{2a+b}{2ab}$

• $\frac{-(2ab)}{1}=\frac{2a+b}{2a+b} x\frac{4ax+2bx+4x^2}{1}$

• -2ab = 4ax + 4x² + 2xb

• 0= 4ax + 4x² + 2xb + 2ab

• 0=  4x(a + x) + 2b(x + a)

• 0= (x + a) (4x + 2b)

                        [By Zero Product Rule]

• x + a = 0    OR   4x + 2b = 0

• x= -a    OR     4x = -2b

• x = -a   OR    x = $\frac{-b}{2}$