(4x^4+x^2-8)+(-x^4-3x+5)=3x^4+x^2-3x-3

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Solution for (4x^4+x^2-8)+(-x^4-3x+5)=3x^4+x^2-3x-3 equation:


Simplifying
(4x4 + x2 + -8) + (-1x4 + -3x + 5) = 3x4 + x2 + -3x + -3

Reorder the terms:
(-8 + x2 + 4x4) + (-1x4 + -3x + 5) = 3x4 + x2 + -3x + -3

Remove parenthesis around (-8 + x2 + 4x4)
-8 + x2 + 4x4 + (-1x4 + -3x + 5) = 3x4 + x2 + -3x + -3

Reorder the terms:
-8 + x2 + 4x4 + (5 + -3x + -1x4) = 3x4 + x2 + -3x + -3

Remove parenthesis around (5 + -3x + -1x4)
-8 + x2 + 4x4 + 5 + -3x + -1x4 = 3x4 + x2 + -3x + -3

Reorder the terms:
-8 + 5 + -3x + x2 + 4x4 + -1x4 = 3x4 + x2 + -3x + -3

Combine like terms: -8 + 5 = -3
-3 + -3x + x2 + 4x4 + -1x4 = 3x4 + x2 + -3x + -3

Combine like terms: 4x4 + -1x4 = 3x4
-3 + -3x + x2 + 3x4 = 3x4 + x2 + -3x + -3

Reorder the terms:
-3 + -3x + x2 + 3x4 = -3 + -3x + x2 + 3x4

Add '3' to each side of the equation.
-3 + -3x + x2 + 3 + 3x4 = -3 + -3x + x2 + 3 + 3x4

Reorder the terms:
-3 + 3 + -3x + x2 + 3x4 = -3 + -3x + x2 + 3 + 3x4

Combine like terms: -3 + 3 = 0
0 + -3x + x2 + 3x4 = -3 + -3x + x2 + 3 + 3x4
-3x + x2 + 3x4 = -3 + -3x + x2 + 3 + 3x4

Reorder the terms:
-3x + x2 + 3x4 = -3 + 3 + -3x + x2 + 3x4

Combine like terms: -3 + 3 = 0
-3x + x2 + 3x4 = 0 + -3x + x2 + 3x4
-3x + x2 + 3x4 = -3x + x2 + 3x4

Add '3x' to each side of the equation.
-3x + x2 + 3x + 3x4 = -3x + x2 + 3x + 3x4

Reorder the terms:
-3x + 3x + x2 + 3x4 = -3x + x2 + 3x + 3x4

Combine like terms: -3x + 3x = 0
0 + x2 + 3x4 = -3x + x2 + 3x + 3x4
x2 + 3x4 = -3x + x2 + 3x + 3x4

Reorder the terms:
x2 + 3x4 = -3x + 3x + x2 + 3x4

Combine like terms: -3x + 3x = 0
x2 + 3x4 = 0 + x2 + 3x4
x2 + 3x4 = x2 + 3x4

Add '-1x2' to each side of the equation.
x2 + -1x2 + 3x4 = x2 + -1x2 + 3x4

Combine like terms: x2 + -1x2 = 0
0 + 3x4 = x2 + -1x2 + 3x4
3x4 = x2 + -1x2 + 3x4

Combine like terms: x2 + -1x2 = 0
3x4 = 0 + 3x4
3x4 = 3x4

Add '-3x4' to each side of the equation.
3x4 + -3x4 = 3x4 + -3x4

Combine like terms: 3x4 + -3x4 = 0
0 = 3x4 + -3x4

Combine like terms: 3x4 + -3x4 = 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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