Question

Solve the equation x(x+1)=6

Answer 1

Hey mates....

$2x + x = 6$
3x=6
x=6÷3
x= 2

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Answer 2

x(x+1)=6
${x }^{2} + x = 6 \\ {x }^{2} + x - 6 = 0 \\ {x}^{2} + 3x - 2x - 6 = 0 \\ x(x + 3) - 2(x + 3) = 0 \\ (x - 2)(x + 3) = 0 \\ x - 2 = 0 \: \: \: or \: \: x + 3 = 0 \\ x = 2 \: \: or \: \: x = - 3$