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7+2x=2x(-x+4)-21
We move all terms to the left:
7+2x-(2x(-x+4)-21)=0
We add all the numbers together, and all the variables
2x-(2x(-1x+4)-21)+7=0
We calculate terms in parentheses: -(2x(-1x+4)-21), so:We get rid of parentheses
2x(-1x+4)-21
We multiply parentheses
-2x^2+8x-21
Back to the equation:
-(-2x^2+8x-21)
2x^2-8x+2x+21+7=0
We add all the numbers together, and all the variables
2x^2-6x+28=0
a = 2; b = -6; c = +28;
Δ = b2-4ac
Δ = -62-4·2·28
Δ = -188
Delta is less than zero, so there is no solution for the equation
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