(1/8)(8x+15)=24

Solution for (1/8)(8x+15)=24 equation:

(1/8)(8x+15)=24

We move all terms to the left:

(1/8)(8x+15)-(24)=0


Domain of the equation: 8)(8x+15)!=0

x∈R


We add all the numbers together, and all the variables

(+1/8)(8x+15)-24=0

We multiply parentheses ..

(+8x^2+1/8*15)-24=0

We multiply all the terms by the denominator


(+8x^2+1-24*8*15)=0

We get rid of parentheses

8x^2+1-24*8*15=0

We add all the numbers together, and all the variables

8x^2-2879=0

a = 8; b = 0; c = -2879;
Δ = b2-4ac
Δ = 02-4·8·(-2879)
Δ = 92128
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{92128}=\sqrt{16*5758}=\sqrt{16}*\sqrt{5758}=4\sqrt{5758}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{5758}}{2*8}=\frac{0-4\sqrt{5758}}{16}
=-\frac{4\sqrt{5758}}{16}
=-\frac{\sqrt{5758}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{5758}}{2*8}=\frac{0+4\sqrt{5758}}{16}
=\frac{4\sqrt{5758}}{16}
=\frac{\sqrt{5758}}{4}
$