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710000=0.638x^2+6.671x+627.619
We move all terms to the left:
710000-(0.638x^2+6.671x+627.619)=0
We get rid of parentheses
-0.638x^2-6.671x-627.619+710000=0
We add all the numbers together, and all the variables
-0.638x^2-6.671x+709372.381=0
a = -0.638; b = -6.671; c = +709372.381;
Δ = b2-4ac
Δ = -6.6712-4·(-0.638)·709372.381
Δ = 1810362.818553
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{-(-6.671)-\sqrt{1810362.818553}}{2*-0.638}=\frac{6.671-\sqrt{1810362.818553}}{-1.276} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6.671)+\sqrt{1810362.818553}}{2*-0.638}=\frac{6.671+\sqrt{1810362.818553}}{-1.276} $
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