The equation after simplification is [tex]7x^{6}+42x^{2} -152=0[/tex].
What is simplification of an equation?
Simplification of an equation is the process of writing an equation in the most efficient and compact form without affecting the value of the original equation. It involves, multiply out the brackets and then simplify the resulting equation by collecting the like terms.
For the given situation,
The equation is
[tex]7x^{6}=2[{45-3(7x^{2} -15+6)}+4][/tex]
⇒ [tex]7x^{6}=2[{45-3(7x^{2} -9)}+4][/tex]
⇒ [tex]7x^{6}=2[{45-21x^{2} +27}+4][/tex]
⇒ [tex]7x^{6}=2[-21x^{2} +76][/tex]
⇒ [tex]7x^{6}=-42x^{2} +152[/tex]
⇒ [tex]7x^{6}+42x^{2} -152=0[/tex]
Hence we can conclude that the simplified equation is [tex]7x^{6}+42x^{2} -152=0[/tex].
Learn more about simplification of an expression here
https://brainly.com/question/13730519
#SPJ2
