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(7x-2)(10-3x)=180
We move all terms to the left:
(7x-2)(10-3x)-(180)=0
We add all the numbers together, and all the variables
(7x-2)(-3x+10)-180=0
We multiply parentheses ..
(-21x^2+70x+6x-20)-180=0
We get rid of parentheses
-21x^2+70x+6x-20-180=0
We add all the numbers together, and all the variables
-21x^2+76x-200=0
a = -21; b = 76; c = -200;
Δ = b2-4ac
Δ = 762-4·(-21)·(-200)
Δ = -11024
Delta is less than zero, so there is no solution for the equation
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