13(5)+(-7/8)x=-79

Solution for 13(5)+(-7/8)x=-79 equation:

13(5)+(-7/8)x=-79

We move all terms to the left:

13(5)+(-7/8)x-(-79)=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

(-7/8)x+214=0

We multiply parentheses

-7x^2+214=0

a = -7; b = 0; c = +214;
Δ = b2-4ac
Δ = 02-4·(-7)·214
Δ = 5992
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:

$\sqrt{\Delta}=\sqrt{5992}=\sqrt{4*1498}=\sqrt{4}*\sqrt{1498}=2\sqrt{1498}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{1498}}{2*-7}=\frac{0-2\sqrt{1498}}{-14}
=-\frac{2\sqrt{1498}}{-14}
=-\frac{\sqrt{1498}}{-7}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{1498}}{2*-7}=\frac{0+2\sqrt{1498}}{-14}
=\frac{2\sqrt{1498}}{-14}
=\frac{\sqrt{1498}}{-7}
$