x=(-27/2*14)

Solution for x=(-27/2*14) equation:

x=(-27/2*14)

We move all terms to the left:

x-((-27/2*14))=0

We multiply all the terms by the denominator


x*2*14))-((-27=0

Wy multiply elements

28x^2*1-27=0

Wy multiply elements

28x^2-27=0

a = 28; b = 0; c = -27;
Δ = b2-4ac
Δ = 02-4·28·(-27)
Δ = 3024
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:

$\sqrt{\Delta}=\sqrt{3024}=\sqrt{144*21}=\sqrt{144}*\sqrt{21}=12\sqrt{21}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12\sqrt{21}}{2*28}=\frac{0-12\sqrt{21}}{56}
=-\frac{12\sqrt{21}}{56}
=-\frac{3\sqrt{21}}{14}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12\sqrt{21}}{2*28}=\frac{0+12\sqrt{21}}{56}
=\frac{12\sqrt{21}}{56}
=\frac{3\sqrt{21}}{14}
$