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(-4x^2-8x+1)+(-2x^2+9x-9)=-101
We move all terms to the left:
(-4x^2-8x+1)+(-2x^2+9x-9)-(-101)=0
We add all the numbers together, and all the variables
(-4x^2-8x+1)+(-2x^2+9x-9)+101=0
We get rid of parentheses
-4x^2-2x^2-8x+9x+1-9+101=0
We add all the numbers together, and all the variables
-6x^2+x+93=0
a = -6; b = 1; c = +93;
Δ = b2-4ac
Δ = 12-4·(-6)·93
Δ = 2233
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{-(1)-\sqrt{2233}}{2*-6}=\frac{-1-\sqrt{2233}}{-12} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{2233}}{2*-6}=\frac{-1+\sqrt{2233}}{-12} $
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