16x^4-16x^2+1=2(8x^4-8x^2+1)-1

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Solution for 16x^4-16x^2+1=2(8x^4-8x^2+1)-1 equation: 


Simplifying
16x4 + -16x2 + 1 = 2(8x4 + -8x2 + 1) + -1

Reorder the terms:
1 + -16x2 + 16x4 = 2(8x4 + -8x2 + 1) + -1

Reorder the terms:
1 + -16x2 + 16x4 = 2(1 + -8x2 + 8x4) + -1
1 + -16x2 + 16x4 = (1 * 2 + -8x2 * 2 + 8x4 * 2) + -1
1 + -16x2 + 16x4 = (2 + -16x2 + 16x4) + -1

Reorder the terms:
1 + -16x2 + 16x4 = 2 + -1 + -16x2 + 16x4

Combine like terms: 2 + -1 = 1
1 + -16x2 + 16x4 = 1 + -16x2 + 16x4

Add '-1' to each side of the equation.
1 + -16x2 + -1 + 16x4 = 1 + -16x2 + -1 + 16x4

Reorder the terms:
1 + -1 + -16x2 + 16x4 = 1 + -16x2 + -1 + 16x4

Combine like terms: 1 + -1 = 0
0 + -16x2 + 16x4 = 1 + -16x2 + -1 + 16x4
-16x2 + 16x4 = 1 + -16x2 + -1 + 16x4

Reorder the terms:
-16x2 + 16x4 = 1 + -1 + -16x2 + 16x4

Combine like terms: 1 + -1 = 0
-16x2 + 16x4 = 0 + -16x2 + 16x4
-16x2 + 16x4 = -16x2 + 16x4

Add '16x2' to each side of the equation.
-16x2 + 16x2 + 16x4 = -16x2 + 16x2 + 16x4

Combine like terms: -16x2 + 16x2 = 0
0 + 16x4 = -16x2 + 16x2 + 16x4
16x4 = -16x2 + 16x2 + 16x4

Combine like terms: -16x2 + 16x2 = 0
16x4 = 0 + 16x4
16x4 = 16x4

Add '-16x4' to each side of the equation.
16x4 + -16x4 = 16x4 + -16x4

Combine like terms: 16x4 + -16x4 = 0
0 = 16x4 + -16x4

Combine like terms: 16x4 + -16x4 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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