-4x=8(53/17)+24

Solution for -4x=8(53/17)+24 equation:

-4x=8(53/17)+24

We move all terms to the left:

-4x-(8(53/17)+24)=0

We add all the numbers together, and all the variables

-4x-(8(+53/17)+24)=0

We multiply all the terms by the denominator


-4x*17)+24)-(8(+53=0

Wy multiply elements

-68x^2+53=0

a = -68; b = 0; c = +53;
Δ = b2-4ac
Δ = 02-4·(-68)·53
Δ = 14416
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:

$\sqrt{\Delta}=\sqrt{14416}=\sqrt{16*901}=\sqrt{16}*\sqrt{901}=4\sqrt{901}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{901}}{2*-68}=\frac{0-4\sqrt{901}}{-136}
=-\frac{4\sqrt{901}}{-136}
=-\frac{\sqrt{901}}{-34}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{901}}{2*-68}=\frac{0+4\sqrt{901}}{-136}
=\frac{4\sqrt{901}}{-136}
=\frac{\sqrt{901}}{-34}
$