Question

Considere as expressões A = 5(x-3) - 2x (x-3) e B = 4 - (3x+1)² . Resolva a equação A = B - 18

Answer 1

5(x-3)-2x(x-3) = 4-(3x+1)²-18
5x-15-2x²+6x = 4-(6x²+6x+1)-18
-2x²+11x-15 = 4-6x²-6x-1-18
-2x²+11x-15 = -6x²-6x-15
-2x²+6x²+11x+6x-15+15=0
4x²+17x=0
x(4x+17)=0

x=0
4x+17=0
4x=-17
x= - 17/4