2.5p(-3p-8)+5p=4(2.25p+5.5)+15.5

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Solution for 2.5p(-3p-8)+5p=4(2.25p+5.5)+15.5 equation: 



2.5p(-3p-8)+5p=4(2.25p+5.5)+15.5

We move all terms to the left:

2.5p(-3p-8)+5p-(4(2.25p+5.5)+15.5)=0

We add all the numbers together, and all the variables

5p+2.5p(-3p-8)-(4(2.25p+5.5)+15.5)=0

We multiply parentheses

-6p^2+5p-16p-(4(2.25p+5.5)+15.5)=0



We calculate terms in parentheses: -(4(2.25p+5.5)+15.5), so:

4(2.25p+5.5)+15.5

We multiply parentheses

8p+22+15.5

We add all the numbers together, and all the variables

8p+37.5

Back to the equation:

-(8p+37.5)



We add all the numbers together, and all the variables

-6p^2-11p-(8p+37.5)=0

We get rid of parentheses

-6p^2-11p-8p-37.5=0

We add all the numbers together, and all the variables

-6p^2-19p-37.5=0

a = -6; b = -19; c = -37.5;
Δ = b2-4ac
Δ = -192-4·(-6)·(-37.5)
Δ = -539
Delta is less than zero, so there is no solution for the equation

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