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0=-4x^2+15x+30
We move all terms to the left:
0-(-4x^2+15x+30)=0
We add all the numbers together, and all the variables
-(-4x^2+15x+30)=0
We get rid of parentheses
4x^2-15x-30=0
a = 4; b = -15; c = -30;
Δ = b2-4ac
Δ = -152-4·4·(-30)
Δ = 705
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-15)-\sqrt{705}}{2*4}=\frac{15-\sqrt{705}}{8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+\sqrt{705}}{2*4}=\frac{15+\sqrt{705}}{8} $
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