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(2+5i)(6+3i)=0
We add all the numbers together, and all the variables
(5i+2)(3i+6)=0
We multiply parentheses ..
(+15i^2+30i+6i+12)=0
We get rid of parentheses
15i^2+30i+6i+12=0
We add all the numbers together, and all the variables
15i^2+36i+12=0
a = 15; b = 36; c = +12;
Δ = b2-4ac
Δ = 362-4·15·12
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$i_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$i_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{576}=24$$i_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(36)-24}{2*15}=\frac{-60}{30} =-2 $$i_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(36)+24}{2*15}=\frac{-12}{30} =-2/5 $
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