What are the roots of the equation 3x^2 + 6x = x^2 - 4x

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The roots of the equation 3x^2 + 6x = x^2 - 4x have to be determined.

3x^2 + 6x = x^2 - 4x

=> 3x^2 - x^2 + 6x + 4x = 0

=> 2x^2 + 10x = 0

=> x(2x + 10) = 0

=> x = 0 and x = -10/2 = -5

The roots of the equation 3x^2 + 6x = x^2 - 4x are 0 and -5

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