x^5-3x^3+2r^2+7=0

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Solution for x^5-3x^3+2r^2+7=0 equation: 


Simplifying
x5 + -3x3 + 2r2 + 7 = 0

Reorder the terms:
7 + 2r2 + -3x3 + x5 = 0

Solving
7 + 2r2 + -3x3 + x5 = 0

Solving for variable 'r'.

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

Add '-7' to each side of the equation.
7 + 2r2 + -3x3 + -7 + x5 = 0 + -7

Reorder the terms:
7 + -7 + 2r2 + -3x3 + x5 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2r2 + -3x3 + x5 = 0 + -7
2r2 + -3x3 + x5 = 0 + -7

Combine like terms: 0 + -7 = -7
2r2 + -3x3 + x5 = -7

Add '3x3' to each side of the equation.
2r2 + -3x3 + 3x3 + x5 = -7 + 3x3

Combine like terms: -3x3 + 3x3 = 0
2r2 + 0 + x5 = -7 + 3x3
2r2 + x5 = -7 + 3x3

Add '-1x5' to each side of the equation.
2r2 + x5 + -1x5 = -7 + 3x3 + -1x5

Combine like terms: x5 + -1x5 = 0
2r2 + 0 = -7 + 3x3 + -1x5
2r2 = -7 + 3x3 + -1x5

Divide each side by '2'.
r2 = -3.5 + 1.5x3 + -0.5x5

Simplifying
r2 = -3.5 + 1.5x3 + -0.5x5

Reorder the terms:
3.5 + r2 + -1.5x3 + 0.5x5 = -3.5 + 1.5x3 + -0.5x5 + 3.5 + -1.5x3 + 0.5x5

Reorder the terms:
3.5 + r2 + -1.5x3 + 0.5x5 = -3.5 + 3.5 + 1.5x3 + -1.5x3 + -0.5x5 + 0.5x5

Combine like terms: -3.5 + 3.5 = 0.0
3.5 + r2 + -1.5x3 + 0.5x5 = 0.0 + 1.5x3 + -1.5x3 + -0.5x5 + 0.5x5
3.5 + r2 + -1.5x3 + 0.5x5 = 1.5x3 + -1.5x3 + -0.5x5 + 0.5x5

Combine like terms: 1.5x3 + -1.5x3 = 0.0
3.5 + r2 + -1.5x3 + 0.5x5 = 0.0 + -0.5x5 + 0.5x5
3.5 + r2 + -1.5x3 + 0.5x5 = -0.5x5 + 0.5x5

Combine like terms: -0.5x5 + 0.5x5 = 0.0
3.5 + r2 + -1.5x3 + 0.5x5 = 0.0

The solution to this equation could not be determined.

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