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2x^2+7x/2-30=0
We multiply all the terms by the denominator
2x^2*2+7x-30*2=0
We add all the numbers together, and all the variables
2x^2*2+7x-60=0
Wy multiply elements
4x^2+7x-60=0
a = 4; b = 7; c = -60;
Δ = b2-4ac
Δ = 72-4·4·(-60)
Δ = 1009
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{-(7)-\sqrt{1009}}{2*4}=\frac{-7-\sqrt{1009}}{8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{1009}}{2*4}=\frac{-7+\sqrt{1009}}{8} $
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