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

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



(x-2)(9x+5)=(3x+2)(3x-5)
We move all terms to the left:
(x-2)(9x+5)-((3x+2)(3x-5))=0
We multiply parentheses ..
(+9x^2+5x-18x-10)-((3x+2)(3x-5))=0
We calculate terms in parentheses: -((3x+2)(3x-5)), so:
(3x+2)(3x-5)
We multiply parentheses ..
(+9x^2-15x+6x-10)
We get rid of parentheses
9x^2-15x+6x-10
We add all the numbers together, and all the variables
9x^2-9x-10
Back to the equation:
-(9x^2-9x-10)
We get rid of parentheses
9x^2-9x^2+5x-18x+9x-10+10=0
We add all the numbers together, and all the variables
-4x=0
x=0/-4
x=0

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