Solve the rational equation. if an equation has no solution, so state.
x+6/x=-7

x=−1 or x=−6

Step-by-step explanation:

Multiply all terms by x and cancel:

xx+6=−7x

x2+6=−7x(Simplify both sides of the equation)

x2+6−−7x=−7x−−7x(Subtract -7x from both sides)

x2+7x+6=0

(x+1)(x+6)=0(Factor left side of equation)

x+1=0 or x+6=0(Set factors equal to 0)

x=−1 or x=−6

Check answers. (Plug them in to make sure they work.)

x=−1(Works in original equation)

x=−6(Works in original equation)

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