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X=(9X-24)(4X+36)
We move all terms to the left:
X-((9X-24)(4X+36))=0
We multiply parentheses ..
-((+36X^2+324X-96X-864))+X=0
We calculate terms in parentheses: -((+36X^2+324X-96X-864)), so:We add all the numbers together, and all the variables
(+36X^2+324X-96X-864)
We get rid of parentheses
36X^2+324X-96X-864
We add all the numbers together, and all the variables
36X^2+228X-864
Back to the equation:
-(36X^2+228X-864)
X-(36X^2+228X-864)=0
We get rid of parentheses
-36X^2+X-228X+864=0
We add all the numbers together, and all the variables
-36X^2-227X+864=0
a = -36; b = -227; c = +864;
Δ = b2-4ac
Δ = -2272-4·(-36)·864
Δ = 175945
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{-(-227)-\sqrt{175945}}{2*-36}=\frac{227-\sqrt{175945}}{-72} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-227)+\sqrt{175945}}{2*-36}=\frac{227+\sqrt{175945}}{-72} $
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