6x-35=-8x^2

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Solution for 6x-35=-8x^2 equation:



6x-35=-8x^2
We move all terms to the left:
6x-35-(-8x^2)=0
We get rid of parentheses
8x^2+6x-35=0
a = 8; b = 6; c = -35;
Δ = b2-4ac
Δ = 62-4·8·(-35)
Δ = 1156
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1156}=34$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-34}{2*8}=\frac{-40}{16} =-2+1/2 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+34}{2*8}=\frac{28}{16} =1+3/4 $

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