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2a^2-15a=7
We move all terms to the left:
2a^2-15a-(7)=0
a = 2; b = -15; c = -7;
Δ = b2-4ac
Δ = -152-4·2·(-7)
Δ = 281
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}$$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-15)-\sqrt{281}}{2*2}=\frac{15-\sqrt{281}}{4} $$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+\sqrt{281}}{2*2}=\frac{15+\sqrt{281}}{4} $
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