Let's simplify the equation step by step:
= 4x^2(4x^2 + 4x + 1) - 2x(4x^2 - 1= 16x^4 + 16x^3 + 4x^2 - 8x^3 + 2= 16x^4 + 8x^3 + 4x^2 + 2x
= 30(4x^2 - 4x + 1= 120x^2 - 120x + 30
Set both sides of the equation equal to each other16x^4 + 8x^3 + 4x^2 + 2x = 120x^2 - 120x + 30
Rearrange the terms to set the equation to zero16x^4 + 8x^3 + 4x^2 + 2x - 120x^2 + 120x - 30 = 0
Combine like terms16x^4 + 8x^3 - 116x^2 + 122x - 30 = 0
Therefore, the simplified form of the equation is16x^4 + 8x^3 - 116x^2 + 122x - 30 = 0
Let's simplify the equation step by step:
Expand the terms on the left side4x^2(2x+1)^2 - 2x(4x^2 - 1)
= 4x^2(4x^2 + 4x + 1) - 2x(4x^2 - 1
Expand the terms on the right side= 16x^4 + 16x^3 + 4x^2 - 8x^3 + 2
= 16x^4 + 8x^3 + 4x^2 + 2x
30(2x-1)^2
= 30(4x^2 - 4x + 1
= 120x^2 - 120x + 30
Set both sides of the equation equal to each other
16x^4 + 8x^3 + 4x^2 + 2x = 120x^2 - 120x + 30
Rearrange the terms to set the equation to zero
16x^4 + 8x^3 + 4x^2 + 2x - 120x^2 + 120x - 30 = 0
Combine like terms
16x^4 + 8x^3 - 116x^2 + 122x - 30 = 0
Therefore, the simplified form of the equation is
16x^4 + 8x^3 - 116x^2 + 122x - 30 = 0