-2q(4q-9)=q(-8q+15)-3(-4q-6)

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Solution for -2q(4q-9)=q(-8q+15)-3(-4q-6) equation: 



-2q(4q-9)=q(-8q+15)-3(-4q-6)

We move all terms to the left:

-2q(4q-9)-(q(-8q+15)-3(-4q-6))=0

We multiply parentheses

-8q^2+18q-(q(-8q+15)-3(-4q-6))=0



We calculate terms in parentheses: -(q(-8q+15)-3(-4q-6)), so:

q(-8q+15)-3(-4q-6)

We multiply parentheses

-8q^2+15q+12q+18

We add all the numbers together, and all the variables

-8q^2+27q+18

Back to the equation:

-(-8q^2+27q+18)



We get rid of parentheses

-8q^2+8q^2-27q+18q-18=0

We add all the numbers together, and all the variables

-9q-18=0

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

-9q=18

q=18/-9

q=-2

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