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-9x(2x-1)+3(6x+5)=10(5x+16)-75
We move all terms to the left:
-9x(2x-1)+3(6x+5)-(10(5x+16)-75)=0
We multiply parentheses
-18x^2+9x+18x-(10(5x+16)-75)+15=0
We calculate terms in parentheses: -(10(5x+16)-75), so:We add all the numbers together, and all the variables
10(5x+16)-75
We multiply parentheses
50x+160-75
We add all the numbers together, and all the variables
50x+85
Back to the equation:
-(50x+85)
-18x^2+27x-(50x+85)+15=0
We get rid of parentheses
-18x^2+27x-50x-85+15=0
We add all the numbers together, and all the variables
-18x^2-23x-70=0
a = -18; b = -23; c = -70;
Δ = b2-4ac
Δ = -232-4·(-18)·(-70)
Δ = -4511
Delta is less than zero, so there is no solution for the equation
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