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0.3x(x+13)-6(x+13)=0
We multiply parentheses
0x^2+0x-6x-78=0
We add all the numbers together, and all the variables
x^2-5x-78=0
a = 1; b = -5; c = -78;
Δ = b2-4ac
Δ = -52-4·1·(-78)
Δ = 337
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{-(-5)-\sqrt{337}}{2*1}=\frac{5-\sqrt{337}}{2}x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+\sqrt{337}}{2*1}=\frac{5+\sqrt{337}}{2}
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