15x^2-39x+6x^2=(-7x+2)*(5-3x)

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Solution for 15x^2-39x+6x^2=(-7x+2)*(5-3x) equation:



15x^2-39x+6x^2=(-7x+2)(5-3x)
We move all terms to the left:
15x^2-39x+6x^2-((-7x+2)(5-3x))=0
We add all the numbers together, and all the variables
15x^2+6x^2-39x-((-7x+2)(-3x+5))=0
We add all the numbers together, and all the variables
21x^2-39x-((-7x+2)(-3x+5))=0
We multiply parentheses ..
21x^2-((+21x^2-35x-6x+10))-39x=0
We calculate terms in parentheses: -((+21x^2-35x-6x+10)), so:
(+21x^2-35x-6x+10)
We get rid of parentheses
21x^2-35x-6x+10
We add all the numbers together, and all the variables
21x^2-41x+10
Back to the equation:
-(21x^2-41x+10)
We add all the numbers together, and all the variables
21x^2-39x-(21x^2-41x+10)=0
We get rid of parentheses
21x^2-21x^2-39x+41x-10=0
We add all the numbers together, and all the variables
2x-10=0
We move all terms containing x to the left, all other terms to the right
2x=10
x=10/2
x=5

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