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5x(x+6)=x+21+6
We move all terms to the left:
5x(x+6)-(x+21+6)=0
We add all the numbers together, and all the variables
5x(x+6)-(x+27)=0
We multiply parentheses
5x^2+30x-(x+27)=0
We get rid of parentheses
5x^2+30x-x-27=0
We add all the numbers together, and all the variables
5x^2+29x-27=0
a = 5; b = 29; c = -27;
Δ = b2-4ac
Δ = 292-4·5·(-27)
Δ = 1381
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{-(29)-\sqrt{1381}}{2*5}=\frac{-29-\sqrt{1381}}{10} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(29)+\sqrt{1381}}{2*5}=\frac{-29+\sqrt{1381}}{10} $
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