30=-16x^2+28x+30

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Solution for 30=-16x^2+28x+30 equation:



30=-16x^2+28x+30
We move all terms to the left:
30-(-16x^2+28x+30)=0
We get rid of parentheses
16x^2-28x-30+30=0
We add all the numbers together, and all the variables
16x^2-28x=0
a = 16; b = -28; c = 0;
Δ = b2-4ac
Δ = -282-4·16·0
Δ = 784
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{784}=28$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-28)-28}{2*16}=\frac{0}{32} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-28)+28}{2*16}=\frac{56}{32} =1+3/4 $

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