Equal roots parameter values 2

For what values of $m$ will the equation $x^{2} - 2 x (1 + 3 m) + 7 (3 + 2 m) = 0$ have equal roots?

~10 minAnswer checked instantlydiscriminantequal roots

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. IX. The Theory of Quadratic Equations, Examples IX.a, No. 15

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Checked against the answer in H. S. Hall & S. R. Knight, Higher Algebra (1891).