6x(2)+9x+5=(2x+3)(3x+2)

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Solution for 6x(2)+9x+5=(2x+3)(3x+2) equation:



6x(2)+9x+5=(2x+3)(3x+2)
We move all terms to the left:
6x(2)+9x+5-((2x+3)(3x+2))=0
We add all the numbers together, and all the variables
6x^2+9x-((2x+3)(3x+2))+5=0
We multiply parentheses ..
6x^2-((+6x^2+4x+9x+6))+9x+5=0
We calculate terms in parentheses: -((+6x^2+4x+9x+6)), so:
(+6x^2+4x+9x+6)
We get rid of parentheses
6x^2+4x+9x+6
We add all the numbers together, and all the variables
6x^2+13x+6
Back to the equation:
-(6x^2+13x+6)
We add all the numbers together, and all the variables
6x^2+9x-(6x^2+13x+6)+5=0
We get rid of parentheses
6x^2-6x^2+9x-13x-6+5=0
We add all the numbers together, and all the variables
-4x-1=0
We move all terms containing x to the left, all other terms to the right
-4x=1
x=1/-4
x=-1/4

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