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351=2.5x(2)+7.5x+130
We move all terms to the left:
351-(2.5x(2)+7.5x+130)=0
We add all the numbers together, and all the variables
-(+2.5x^2+7.5x+130)+351=0
We get rid of parentheses
-2.5x^2-7.5x-130+351=0
We add all the numbers together, and all the variables
-2.5x^2-7.5x+221=0
a = -2.5; b = -7.5; c = +221;
Δ = b2-4ac
Δ = -7.52-4·(-2.5)·221
Δ = 2266.25
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{-(-7.5)-\sqrt{2266.25}}{2*-2.5}=\frac{7.5-\sqrt{2266.25}}{-5} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7.5)+\sqrt{2266.25}}{2*-2.5}=\frac{7.5+\sqrt{2266.25}}{-5} $
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