Question

-(x + 3) + 3/4x +5= 0​

Answer 1

Solution:-

`- (x + 3) + (3)/(4x) + 5 = 0`

`⇒ - x - 3 + (3)/(4x) + 5 = 0`

`⇒ - x + (3)/(4x) = - 5 + 3`

`⇒ \frac{ - 4 {x}^(2) + 3 }{4x} = - 2`

`⇒ - 4 {x}^(2) + 3 = - 8x`

`⇒ - 4 {x}^(2) + 8x + 3 = 0`

`⇒4 {x}^(2) - 8x - 3 = 0`

`⇒x = \frac{ - ( - 8) \pm\sqrt{( - 8)^(2) - 4 * 4 * ( - 3) } }{2 * 4}`

`⇒x = (8 \pm √(64 + 48) )/(8)`

`⇒x = (8 \pm √(112) )/(8)`

`⇒ x_(1) = (8 + √(112) )/(8) \: \: ,\: \: x_(2) = (8 - √(112) )/(8)`

`⇒ x_(1) = (8 + 10.58)/(8) \: \: , \: \: x_(2) = (8 - 10.58)/(8)`

`⇒ x_(1) = (18.58)/(8) \: \: , \: \: x_(2) = ( - 2.58)/(8)`

`⇒ x_(1) = 2.32\: \: , \: \: x_(2) = - 0.32`

`\sf \red{ \therefore{x_(1) = 2.32\: \: and\: \: x_(2) = - 0.32}}`

Answer 2

`\text {Hi! Let's Solve this Equation!}`

`\text {\underline {The First Step is to Simplify}}`

`\text {-x+-3+3/4x+5=0}\\\text {(-x+3/4x)+(-3+5)=0}`

`\text {Your New Problem Is: -1/4x+2=0}`

`\text {\underline {The Next Step Is To Subtract 2}}`

`\text {-1/4x+2-2=0-2}`

`\text {Your New Problem Is: -1/4x=-2}`

`\text {\underline {The Final Step is to Multiply 4/-1}}`

`\text {4/-1*-1/4x=4/-1*-2}`

`\text {Your Answer Would Be:}`

`\fbox {x=8}`

`\text {Best of Luck!}`