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(x+3)(x-3)=x(4x+5)
We move all terms to the left:
(x+3)(x-3)-(x(4x+5))=0
We use the square of the difference formula
x^2-(x(4x+5))-9=0
We calculate terms in parentheses: -(x(4x+5)), so:We get rid of parentheses
x(4x+5)
We multiply parentheses
4x^2+5x
Back to the equation:
-(4x^2+5x)
x^2-4x^2-5x-9=0
We add all the numbers together, and all the variables
-3x^2-5x-9=0
a = -3; b = -5; c = -9;
Δ = b2-4ac
Δ = -52-4·(-3)·(-9)
Δ = -83
Delta is less than zero, so there is no solution for the equation
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