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180=(x-2)(3x+7)/2
We move all terms to the left:
180-((x-2)(3x+7)/2)=0
We multiply parentheses ..
-((+3x^2+7x-6x-14)/2)+180=0
We multiply all the terms by the denominator
-((+3x^2+7x-6x-14)+180*2)=0
We calculate terms in parentheses: -((+3x^2+7x-6x-14)+180*2), so:We get rid of parentheses
(+3x^2+7x-6x-14)+180*2
We add all the numbers together, and all the variables
(+3x^2+7x-6x-14)+360
We get rid of parentheses
3x^2+7x-6x-14+360
We add all the numbers together, and all the variables
3x^2+x+346
Back to the equation:
-(3x^2+x+346)
-3x^2-x-346=0
We add all the numbers together, and all the variables
-3x^2-1x-346=0
a = -3; b = -1; c = -346;
Δ = b2-4ac
Δ = -12-4·(-3)·(-346)
Δ = -4151
Delta is less than zero, so there is no solution for the equation
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