Question

Solve the following quadratic equations for x: 3x2=-11x-10

Answer 1

3x²=-11x-10

3x²+11x+10=0

Factorise

3x²+6x+5x+10=0

3x(x+2)+5(x+2)=0

(3x+5)(x+2)=0

So now, either 3x+5=0 or (x+2)=0

1. 3x+5=0

3x=-5

x=-5/3

2. x+2=0

x=-2

Therefore x=-5/3 or -2

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