(5x+3)/(4x+5)=-9

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Solution for (5x+3)/(4x+5)=-9 equation:



(5x+3)/(4x+5)=-9
We move all terms to the left:
(5x+3)/(4x+5)-(-9)=0
Domain of the equation: (4x+5)!=0
We move all terms containing x to the left, all other terms to the right
4x!=-5
x!=-5/4
x!=-1+1/4
x∈R
We add all the numbers together, and all the variables
(5x+3)/(4x+5)+9=0
We multiply all the terms by the denominator
(5x+3)+9*(4x+5)=0
We multiply parentheses
(5x+3)+36x+45=0
We get rid of parentheses
5x+36x+3+45=0
We add all the numbers together, and all the variables
41x+48=0
We move all terms containing x to the left, all other terms to the right
41x=-48
x=-48/41
x=-1+7/41

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