3x(5-2x)=-6(x+2)+81

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Solution for 3x(5-2x)=-6(x+2)+81 equation: 



3x(5-2x)=-6(x+2)+81

We move all terms to the left:

3x(5-2x)-(-6(x+2)+81)=0

We add all the numbers together, and all the variables

3x(-2x+5)-(-6(x+2)+81)=0

We multiply parentheses

-6x^2+15x-(-6(x+2)+81)=0



We calculate terms in parentheses: -(-6(x+2)+81), so:

-6(x+2)+81

We multiply parentheses

-6x-12+81

We add all the numbers together, and all the variables

-6x+69

Back to the equation:

-(-6x+69)



We get rid of parentheses

-6x^2+15x+6x-69=0

We add all the numbers together, and all the variables

-6x^2+21x-69=0

a = -6; b = 21; c = -69;
Δ = b2-4ac
Δ = 212-4·(-6)·(-69)
Δ = -1215
Delta is less than zero, so there is no solution for the equation

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