(x^2+0.3x+0.02)=3.2(4x^2-0.4x+0.01)

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Solution for (x^2+0.3x+0.02)=3.2(4x^2-0.4x+0.01) equation: 



(x^2+0.3x+0.02)=3.2(4x^2-0.4x+0.01)

We move all terms to the left:

(x^2+0.3x+0.02)-(3.2(4x^2-0.4x+0.01))=0

We get rid of parentheses

x^2+0.3x-(3.2(4x^2-0.4x+0.01))+0.02=0



We calculate terms in parentheses: -(3.2(4x^2-0.4x+0.01)), so:

3.2(4x^2-0.4x+0.01)

We multiply parentheses

12.8x^2+0x+0.032

We add all the numbers together, and all the variables

12.8x^2+x+0.032

Back to the equation:

-(12.8x^2+x+0.032)



We get rid of parentheses

x^2-12.8x^2+0.3x-x-0.032+0.02=0

We add all the numbers together, and all the variables

-11.8x^2-0.7x-0.012=0

a = -11.8; b = -0.7; c = -0.012;
Δ = b2-4ac
Δ = -0.72-4·(-11.8)·(-0.012)
Δ = -0.0764
Delta is less than zero, so there is no solution for the equation

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