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x.12(5x-4.5)=36
We move all terms to the left:
x.12(5x-4.5)-(36)=0
We multiply parentheses
5x^2-4.5x-36=0
a = 5; b = -4.5; c = -36;
Δ = b2-4ac
Δ = -4.52-4·5·(-36)
Δ = 740.25
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{-(-4.5)-\sqrt{740.25}}{2*5}=\frac{4.5-\sqrt{740.25}}{10} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4.5)+\sqrt{740.25}}{2*5}=\frac{4.5+\sqrt{740.25}}{10} $
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