225=-16t^2-32t+225

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Solution for 225=-16t^2-32t+225 equation:



225=-16t^2-32t+225
We move all terms to the left:
225-(-16t^2-32t+225)=0
We get rid of parentheses
16t^2+32t-225+225=0
We add all the numbers together, and all the variables
16t^2+32t=0
a = 16; b = 32; c = 0;
Δ = b2-4ac
Δ = 322-4·16·0
Δ = 1024
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1024}=32$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(32)-32}{2*16}=\frac{-64}{32} =-2 $
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(32)+32}{2*16}=\frac{0}{32} =0 $

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