5x(2-3x)=4x+6

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Solution for 5x(2-3x)=4x+6 equation: 



5x(2-3x)=4x+6

We move all terms to the left:

5x(2-3x)-(4x+6)=0

We add all the numbers together, and all the variables

5x(-3x+2)-(4x+6)=0

We multiply parentheses

-15x^2+10x-(4x+6)=0

We get rid of parentheses

-15x^2+10x-4x-6=0

We add all the numbers together, and all the variables

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

a = -15; b = 6; c = -6;
Δ = b2-4ac
Δ = 62-4·(-15)·(-6)
Δ = -324
Delta is less than zero, so there is no solution for the equation

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