(2x-3)(3x-16)=-54

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Solution for (2x-3)(3x-16)=-54 equation: 



(2x-3)(3x-16)=-54

We move all terms to the left:

(2x-3)(3x-16)-(-54)=0

We add all the numbers together, and all the variables

(2x-3)(3x-16)+54=0

We multiply parentheses ..

(+6x^2-32x-9x+48)+54=0

We get rid of parentheses

6x^2-32x-9x+48+54=0

We add all the numbers together, and all the variables

6x^2-41x+102=0

a = 6; b = -41; c = +102;
Δ = b2-4ac
Δ = -412-4·6·102
Δ = -767
Delta is less than zero, so there is no solution for the equation

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