# What can be the solution process for this

What can be the solution process for this

$What can be the solution process for this$

## This Post Has 3 Comments

1. terrybrown5391 says:

x = 4/5

Step-by-step explanation:

We are given the equation:

$\displaystyle \large{ \frac{5x - 4}{ \sqrt{5x} + 2 } = 2 - \frac{ \sqrt{5x} + 2}{2} }$

Multiply both sides by LCM which is 2(√5x +2) to clear out the denominator.

$\displaystyle \large{ \frac{5x - 4}{ \sqrt{5x} + 2 }(2)(\sqrt{5x} + 2)= 2 (2)( \sqrt{5x} + 2) - \frac{ \sqrt{5x} + 2}{2} (2)( \sqrt{5x + 2} )} \\ \displaystyle \large{ (5x - 4)2= 4( \sqrt{5x} + 2) - (\sqrt{5x} + 2)( \sqrt{5x} + 2)} \\ \displaystyle \large{ 10x - 8= 4\sqrt{5x} + 8 - ( \sqrt{5x} + 2) ^{2} } \\ \displaystyle \large{ 10x - 8= 4\sqrt{5x} + 8 - (5x + 4 \sqrt{5x} + 4) } \\ \displaystyle \large{ 10x - 8= 4\sqrt{5x} + 8 - 5x - 4 \sqrt{5x} - 4} \\ \displaystyle \large{ 10x - 8= 4 - 5x}$

Thus, our simplified equation is;-

$\displaystyle \large{10x - 8 = 4 - 5x}$

$\displaystyle \large{10x + 5x - 8 = 4 - 5x + 5x} \\ \displaystyle \large{15x - 8 = 4} \\ \displaystyle \large{15x - 8 + 8 = 4 + 8} \\ \displaystyle \large{15x= 12}$

Divide both sides by 15.

$\displaystyle \large{ \frac{15x}{15} = \frac{12}{15} } \\ \displaystyle \large{x = \frac{4}{5} }$

Therefore, x = 4/5

2. Expert says:

.mp4 files, because, video

3. Expert says:

-232

step-by-step explanation: