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4x^2-9x=-100
We move all terms to the left:
4x^2-9x-(-100)=0
We add all the numbers together, and all the variables
4x^2-9x+100=0
a = 4; b = -9; c = +100;
Δ = b2-4ac
Δ = -92-4·4·100
Δ = -1519
Delta is less than zero, so there is no solution for the equation
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