10.24+6.4x+x^2=0.493(-0.5x)(0.4-0.5x)

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Solution for 10.24+6.4x+x^2=0.493(-0.5x)(0.4-0.5x) equation: 



10.24+6.4x+x^2=0.493(-0.5x)(0.4-0.5x)

We move all terms to the left:

10.24+6.4x+x^2-(0.493(-0.5x)(0.4-0.5x))=0

We add all the numbers together, and all the variables

x^2+6.4x-(0.493(-0.5x)(-0.5x+0.4))+10.24=0

We multiply parentheses ..

x^2-(0.493(+0x^2+0x))+6.4x+10.24=0



We calculate terms in parentheses: -(0.493(+0x^2+0x)), so:

0.493(+0x^2+0x)

We multiply parentheses

0x^2+0x

We add all the numbers together, and all the variables

x^2+x

Back to the equation:

-(x^2+x)



We add all the numbers together, and all the variables

x^2+6.4x-(x^2+x)+10.24=0

We get rid of parentheses

x^2-x^2+6.4x-x+10.24=0

We add all the numbers together, and all the variables

5.4x+10.24=0

We move all terms containing x to the left, all other terms to the right

5.4x=-10.24

x=-10.24/5.4

x=-1+2.63043478261/2.9347826087

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