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x^2*56-18=213+5x
We move all terms to the left:
x^2*56-18-(213+5x)=0
We add all the numbers together, and all the variables
x^2*56-(5x+213)-18=0
Wy multiply elements
56x^2-(5x+213)-18=0
We get rid of parentheses
56x^2-5x-213-18=0
We add all the numbers together, and all the variables
56x^2-5x-231=0
a = 56; b = -5; c = -231;
Δ = b2-4ac
Δ = -52-4·56·(-231)
Δ = 51769
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{-(-5)-\sqrt{51769}}{2*56}=\frac{5-\sqrt{51769}}{112} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+\sqrt{51769}}{2*56}=\frac{5+\sqrt{51769}}{112} $
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