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x^2+15x+36x=0
We add all the numbers together, and all the variables
x^2+51x=0
a = 1; b = 51; c = 0;
Δ = b2-4ac
Δ = 512-4·1·0
Δ = 2601
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{2601}=51$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(51)-51}{2*1}=\frac{-102}{2} =-51 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(51)+51}{2*1}=\frac{0}{2} =0 $
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