$$3(2x-1) = 1221x(x+6)(x+6)$$
Answer
$$ \begin{matrix}x_1 = -7.0E-5 & x_2 = -5.927 & x_3 = -6.07293 \end{matrix} $$
Explanation
$$ \begin{aligned} 3(2x-1) &= 1221x(x+6)(x+6)&& \text{simplify left and right hand side} \\[1 em]6x-3 &= (1221x^2+7326x)(x+6)&& \\[1 em]6x-3 &= 1221x^3+7326x^2+7326x^2+43956x&& \\[1 em]6x-3 &= 1221x^3+14652x^2+43956x&& \text{move all terms to the left hand side } \\[1 em]6x-3-1221x^3-14652x^2-43956x &= 0&& \text{simplify left side} \\[1 em]-1221x^3-14652x^2-43950x-3 &= 0&& \\[1 em] \end{aligned} $$
This polynomial has no rational roots that can be found using Rational Root Test.
Roots were found using qubic formulas.
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