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-8+7x^2=3x+4+2x
We move all terms to the left:
-8+7x^2-(3x+4+2x)=0
We add all the numbers together, and all the variables
7x^2-(5x+4)-8=0
We get rid of parentheses
7x^2-5x-4-8=0
We add all the numbers together, and all the variables
7x^2-5x-12=0
a = 7; b = -5; c = -12;
Δ = b2-4ac
Δ = -52-4·7·(-12)
Δ = 361
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{361}=19$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-19}{2*7}=\frac{-14}{14} =-1 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+19}{2*7}=\frac{24}{14} =1+5/7 $
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