A=8x^2+30x

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Solution for A=8x^2+30x equation:



=8A^2+30A
We move all terms to the left:
-(8A^2+30A)=0
We get rid of parentheses
-8A^2-30A=0
a = -8; b = -30; c = 0;
Δ = b2-4ac
Δ = -302-4·(-8)·0
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$A_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$A_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$A_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-30}{2*-8}=\frac{0}{-16} =0 $
$A_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+30}{2*-8}=\frac{60}{-16} =-3+3/4 $

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