(6x+7)*(2x+3)=(4x+5)*(3x+2)

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Solution for (6x+7)*(2x+3)=(4x+5)*(3x+2) equation:



(6x+7)(2x+3)=(4x+5)(3x+2)
We move all terms to the left:
(6x+7)(2x+3)-((4x+5)(3x+2))=0
We multiply parentheses ..
(+12x^2+18x+14x+21)-((4x+5)(3x+2))=0
We calculate terms in parentheses: -((4x+5)(3x+2)), so:
(4x+5)(3x+2)
We multiply parentheses ..
(+12x^2+8x+15x+10)
We get rid of parentheses
12x^2+8x+15x+10
We add all the numbers together, and all the variables
12x^2+23x+10
Back to the equation:
-(12x^2+23x+10)
We get rid of parentheses
12x^2-12x^2+18x+14x-23x+21-10=0
We add all the numbers together, and all the variables
9x+11=0
We move all terms containing x to the left, all other terms to the right
9x=-11
x=-11/9
x=-1+2/9

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