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12x^2+5x+10=17x^2+10
We move all terms to the left:
12x^2+5x+10-(17x^2+10)=0
We get rid of parentheses
12x^2-17x^2+5x-10+10=0
We add all the numbers together, and all the variables
-5x^2+5x=0
a = -5; b = 5; c = 0;
Δ = b2-4ac
Δ = 52-4·(-5)·0
Δ = 25
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{25}=5$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-5}{2*-5}=\frac{-10}{-10} =1 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+5}{2*-5}=\frac{0}{-10} =0 $
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