How do you simplify #21x^4 + 3y - 6x ^ { 2} + 34= 29x ^ { 2} - 7#?

1 Answer
Jun 29, 2017

#-3y = 21x^4 - 35x^2 + 41#

Explanation:

1.) #21x^4 + 3y - 6x^2 + 34 = 29x^2 -7#

2.) Rearrange the terms:
#21x^4 - 6x^2 + 3y + 34 = 29x^2 -7#

3.) Move all of the #x#'s, #y#'s, and constants to opposite sides
#21x^4 - 29x^2 -6x^2 + 34 + 7 = -3y#

4.) Combine like terms
#21x^4 - 35x^2 + 41= -3y#

5.) Here's your answer:
#-3y = 21x^4 -35x^2 + 41#