4x-(2x+1)(5x+2)=1-(2x+3)(4x-3)

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Solution for 4x-(2x+1)(5x+2)=1-(2x+3)(4x-3) equation:



4x-(2x+1)(5x+2)=1-(2x+3)(4x-3)
We move all terms to the left:
4x-(2x+1)(5x+2)-(1-(2x+3)(4x-3))=0
We multiply parentheses ..
-(+10x^2+4x+5x+2)+4x-(1-(2x+3)(4x-3))=0
We calculate terms in parentheses: -(1-(2x+3)(4x-3)), so:
1-(2x+3)(4x-3)
determiningTheFunctionDomain -(2x+3)(4x-3)+1
We multiply parentheses ..
-(+8x^2-6x+12x-9)+1
We get rid of parentheses
-8x^2+6x-12x+9+1
We add all the numbers together, and all the variables
-8x^2-6x+10
Back to the equation:
-(-8x^2-6x+10)
We get rid of parentheses
-10x^2+8x^2-4x-5x+6x+4x-2-10=0
We add all the numbers together, and all the variables
-2x^2+x-12=0
a = -2; b = 1; c = -12;
Δ = b2-4ac
Δ = 12-4·(-2)·(-12)
Δ = -95
Delta is less than zero, so there is no solution for the equation

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