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-7x*3x+2=-8x-8
We move all terms to the left:
-7x*3x+2-(-8x-8)=0
Wy multiply elements
-21x^2-(-8x-8)+2=0
We get rid of parentheses
-21x^2+8x+8+2=0
We add all the numbers together, and all the variables
-21x^2+8x+10=0
a = -21; b = 8; c = +10;
Δ = b2-4ac
Δ = 82-4·(-21)·10
Δ = 904
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{904}=\sqrt{4*226}=\sqrt{4}*\sqrt{226}=2\sqrt{226}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-2\sqrt{226}}{2*-21}=\frac{-8-2\sqrt{226}}{-42} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+2\sqrt{226}}{2*-21}=\frac{-8+2\sqrt{226}}{-42} $
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