Zgjidh left(2x-2right)left(2x+2right)^2=left(x-3right)left(x+5right)+3x^2

$$\left( 2x-2 \right) { \left(2x+2 \right) }^{ 2 } = \left( x-3 \right) \left( x+5 \right) +3 { x }^{ 2 }$$

Gjej x (complex solution)

$$x=-\frac{4^{\frac{2}{3}}\left(1+\sqrt{3}i\right)\left(2\left(\sqrt[3]{3\sqrt{273}-59}\left(-\sqrt{3}i-1\right)+2\sqrt[3]{-3\sqrt{273}-59}\right)-\sqrt{3}\sqrt[3]{4}i+\sqrt[3]{4}\right)}{96}\approx -0.10945928-0.867541327i$$

$$x=\frac{4^{\frac{2}{3}}\left(2\left(\sqrt[3]{3\sqrt{273}-59}+\sqrt[3]{-3\sqrt{273}-59}\right)-\sqrt[3]{4}\right)}{24}\approx 0.556042468+1.25176894i$$

$$x=-\frac{4^{\frac{2}{3}}\left(-\sqrt{3}i+1\right)\left(2\left(\sqrt[3]{3\sqrt{273}-59}\left(-1+\sqrt{3}i\right)+2\sqrt[3]{-3\sqrt{273}-59}\right)+\sqrt[3]{4}+\sqrt{3}\sqrt[3]{4}i\right)}{96}\approx -0.946583188-0.384227613i$$

Gjej x

$$x=-\frac{4^{\frac{2}{3}}\sqrt[3]{3\sqrt{273}+59}}{12}-\frac{4^{\frac{2}{3}}\sqrt[3]{59-3\sqrt{273}}}{12}-\frac{1}{6}\approx -1.612084936$$