(3x^4-9x^2+14)+(x^3+2x^2-9)-(x^3-x)=33x^4-7x^2+x+5

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Solution for (3x^4-9x^2+14)+(x^3+2x^2-9)-(x^3-x)=33x^4-7x^2+x+5 equation: 


Simplifying
(3x4 + -9x2 + 14) + (x3 + 2x2 + -9) + -1(x3 + -1x) = 33x4 + -7x2 + x + 5

Reorder the terms:
(14 + -9x2 + 3x4) + (x3 + 2x2 + -9) + -1(x3 + -1x) = 33x4 + -7x2 + x + 5

Remove parenthesis around (14 + -9x2 + 3x4)
14 + -9x2 + 3x4 + (x3 + 2x2 + -9) + -1(x3 + -1x) = 33x4 + -7x2 + x + 5

Reorder the terms:
14 + -9x2 + 3x4 + (-9 + 2x2 + x3) + -1(x3 + -1x) = 33x4 + -7x2 + x + 5

Remove parenthesis around (-9 + 2x2 + x3)
14 + -9x2 + 3x4 + -9 + 2x2 + x3 + -1(x3 + -1x) = 33x4 + -7x2 + x + 5

Reorder the terms:
14 + -9x2 + 3x4 + -9 + 2x2 + x3 + -1(-1x + x3) = 33x4 + -7x2 + x + 5
14 + -9x2 + 3x4 + -9 + 2x2 + x3 + (-1x * -1 + x3 * -1) = 33x4 + -7x2 + x + 5
14 + -9x2 + 3x4 + -9 + 2x2 + x3 + (1x + -1x3) = 33x4 + -7x2 + x + 5

Reorder the terms:
14 + -9 + 1x + -9x2 + 2x2 + x3 + -1x3 + 3x4 = 33x4 + -7x2 + x + 5

Combine like terms: 14 + -9 = 5
5 + 1x + -9x2 + 2x2 + x3 + -1x3 + 3x4 = 33x4 + -7x2 + x + 5

Combine like terms: -9x2 + 2x2 = -7x2
5 + 1x + -7x2 + x3 + -1x3 + 3x4 = 33x4 + -7x2 + x + 5

Combine like terms: x3 + -1x3 = 0
5 + 1x + -7x2 + 0 + 3x4 = 33x4 + -7x2 + x + 5
5 + 1x + -7x2 + 3x4 = 33x4 + -7x2 + x + 5

Reorder the terms:
5 + 1x + -7x2 + 3x4 = 5 + x + -7x2 + 33x4

Add '-5' to each side of the equation.
5 + 1x + -7x2 + -5 + 3x4 = 5 + x + -7x2 + -5 + 33x4

Reorder the terms:
5 + -5 + 1x + -7x2 + 3x4 = 5 + x + -7x2 + -5 + 33x4

Combine like terms: 5 + -5 = 0
0 + 1x + -7x2 + 3x4 = 5 + x + -7x2 + -5 + 33x4
1x + -7x2 + 3x4 = 5 + x + -7x2 + -5 + 33x4

Reorder the terms:
1x + -7x2 + 3x4 = 5 + -5 + x + -7x2 + 33x4

Combine like terms: 5 + -5 = 0
1x + -7x2 + 3x4 = 0 + x + -7x2 + 33x4
1x + -7x2 + 3x4 = x + -7x2 + 33x4

Add '7x2' to each side of the equation.
1x + -7x2 + 7x2 + 3x4 = x + -7x2 + 7x2 + 33x4

Combine like terms: -7x2 + 7x2 = 0
1x + 0 + 3x4 = x + -7x2 + 7x2 + 33x4
1x + 3x4 = x + -7x2 + 7x2 + 33x4

Combine like terms: -7x2 + 7x2 = 0
1x + 3x4 = x + 0 + 33x4
1x + 3x4 = x + 33x4

Solving
1x + 3x4 = x + 33x4

Solving for variable 'x'.

Reorder the terms:
1x + -1x + 3x4 + -33x4 = x + 33x4 + -1x + -33x4

Combine like terms: 1x + -1x = 0
0 + 3x4 + -33x4 = x + 33x4 + -1x + -33x4
3x4 + -33x4 = x + 33x4 + -1x + -33x4

Combine like terms: 3x4 + -33x4 = -30x4
-30x4 = x + 33x4 + -1x + -33x4

Reorder the terms:
-30x4 = x + -1x + 33x4 + -33x4

Combine like terms: x + -1x = 0
-30x4 = 0 + 33x4 + -33x4
-30x4 = 33x4 + -33x4

Combine like terms: 33x4 + -33x4 = 0
-30x4 = 0

Ignore the factor -30.

Subproblem 1
Set the factor 'x4' equal to zero and attempt to solve:

Simplifying
x4 = 0

Solving
x4 = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x4 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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