Unusual method for solving quadratic equations

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Unusual Method for Solving Quadratic Equations
Posted on March 22, 2012 by benvitalis

Take, for example, the equation 6x^2 + x – 2 = 0

Multiply the leading coe cient by the constant coeffi cient

x^2 + x – 12 = 0

to get (x + 4)(x – 3) = 0

Then replace each x by 6x

(6x + 4)(6x – 3) = 0

Then simplify this equation to get

(3x + 2)(2x – 1) = 0

which solves the original equation.

Prove or disprove that this method always works