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

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



-2q(4q-9)=q(-8q+15)-(-4q-6)
We move all terms to the left:
-2q(4q-9)-(q(-8q+15)-(-4q-6))=0
We multiply parentheses
-8q^2+18q-(q(-8q+15)-(-4q-6))=0
We calculate terms in parentheses: -(q(-8q+15)-(-4q-6)), so:
q(-8q+15)-(-4q-6)
We multiply parentheses
-8q^2+15q-(-4q-6)
We get rid of parentheses
-8q^2+15q+4q+6
We add all the numbers together, and all the variables
-8q^2+19q+6
Back to the equation:
-(-8q^2+19q+6)
We get rid of parentheses
-8q^2+8q^2-19q+18q-6=0
We add all the numbers together, and all the variables
-1q-6=0
We move all terms containing q to the left, all other terms to the right
-q=6
q=6/-1
q=-6

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