(-9/8)x-7=-27

Solution for (-9/8)x-7=-27 equation:

(-9/8)x-7=-27

We move all terms to the left:

(-9/8)x-7-(-27)=0


Domain of the equation: 8)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(-9/8)x+20=0

We multiply parentheses

-9x^2+20=0

a = -9; b = 0; c = +20;
Δ = b2-4ac
Δ = 02-4·(-9)·20
Δ = 720
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:

$\sqrt{\Delta}=\sqrt{720}=\sqrt{144*5}=\sqrt{144}*\sqrt{5}=12\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12\sqrt{5}}{2*-9}=\frac{0-12\sqrt{5}}{-18}
=-\frac{12\sqrt{5}}{-18}
=-\frac{2\sqrt{5}}{-3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12\sqrt{5}}{2*-9}=\frac{0+12\sqrt{5}}{-18}
=\frac{12\sqrt{5}}{-18}
=\frac{2\sqrt{5}}{-3}
$