Question

I need to know the solution of 4(x+3)-4=81/2x+1

Answer 1

`x= (-7+√(697))/(8)`

`x= -(7+√(697))/(8)`

Explanation:

4(x+3)-4 = 81/2x +1

Add 4 to both sides

4(x+3) = 81/2x +5

Multiply both sides by 2x (This removes the division from the second half)

8x(x+3) = 81 +10x

Simplify

`8x^(2)`+24x = 81 +10x

Subtract 10x from both sides

`8x^(2)` +14x = 81

Subract 81 from both sides

`8x^(2)` +14x -81 = 0

Solve using the quadratic formula

`x= \frac{-b (+-) \sqrt{b^(2) -4ac}}{2a}`

a= 8, b= 14, c= -81

`x = \frac{-14 (+-) \sqrt{14^(2) -4 *8(-81)} }{2*8}`

Simplify

`\sqrt{14^(2) -4 *8(-81)} = 2√(967)`

`(-14 (+-) 2√(967))/(2*8)`

Simplified Solution

`x= (-7+√(697))/(8)`

And

`x=- (7+√(697))/(8)`

I know this is confusing but I hope it helps. Keep in mind that (+-) means plus or minus. You might also look up what the quadratic formula is if you are not already familiar with it.

Answer 2

What does x stand for?