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-3t(t-7)=0
We multiply parentheses
-3t^2+21t=0
a = -3; b = 21; c = 0;
Δ = b2-4ac
Δ = 212-4·(-3)·0
Δ = 441
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{441}=21$$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(21)-21}{2*-3}=\frac{-42}{-6} =+7 $$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(21)+21}{2*-3}=\frac{0}{-6} =0 $
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