4х^2(2х+1)^2-2х(4х^2-1)=30(2х-1)^2

Предыдущий
вопрос Следующий
вопрос

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 + 2x
= 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 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