-16x2=112x

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Solution for -16x2=112x equation:



-16x^2=112x
We move all terms to the left:
-16x^2-(112x)=0
a = -16; b = -112; c = 0;
Δ = b2-4ac
Δ = -1122-4·(-16)·0
Δ = 12544
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{12544}=112$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-112)-112}{2*-16}=\frac{0}{-32} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-112)+112}{2*-16}=\frac{224}{-32} =-7 $

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