Explicación paso a paso:
[tex] {(x - 4)}^{2} = {(x - 5)}^{2} - 15[/tex]
[tex] {(x)}^{2} - 2(x)(4) + {(4)}^{2} = {(x)}^{2} - 2(x)(5) + {(5)}^{2} - 15[/tex]
[tex] {x}^{2} - 8x + 16 = {x}^{2} - 10x + 25 - 15[/tex]
[tex] {x}^{2} - 8x + 16 - {x}^{2} + 10x - 10 = 0[/tex]
[tex]2x + 6 = 0[/tex]