5x^3-3x=(7x^2+5x)-(2x^2+16)

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Solution for 5x^3-3x=(7x^2+5x)-(2x^2+16) equation:


Simplifying
5x3 + -3x = (7x2 + 5x) + -1(2x2 + 16)

Reorder the terms:
-3x + 5x3 = (7x2 + 5x) + -1(2x2 + 16)

Reorder the terms:
-3x + 5x3 = (5x + 7x2) + -1(2x2 + 16)

Remove parenthesis around (5x + 7x2)
-3x + 5x3 = 5x + 7x2 + -1(2x2 + 16)

Reorder the terms:
-3x + 5x3 = 5x + 7x2 + -1(16 + 2x2)
-3x + 5x3 = 5x + 7x2 + (16 * -1 + 2x2 * -1)
-3x + 5x3 = 5x + 7x2 + (-16 + -2x2)

Reorder the terms:
-3x + 5x3 = -16 + 5x + 7x2 + -2x2

Combine like terms: 7x2 + -2x2 = 5x2
-3x + 5x3 = -16 + 5x + 5x2

Solving
-3x + 5x3 = -16 + 5x + 5x2

Solving for variable 'x'.

Reorder the terms:
16 + -3x + -5x + -5x2 + 5x3 = -16 + 5x + 5x2 + 16 + -5x + -5x2

Combine like terms: -3x + -5x = -8x
16 + -8x + -5x2 + 5x3 = -16 + 5x + 5x2 + 16 + -5x + -5x2

Reorder the terms:
16 + -8x + -5x2 + 5x3 = -16 + 16 + 5x + -5x + 5x2 + -5x2

Combine like terms: -16 + 16 = 0
16 + -8x + -5x2 + 5x3 = 0 + 5x + -5x + 5x2 + -5x2
16 + -8x + -5x2 + 5x3 = 5x + -5x + 5x2 + -5x2

Combine like terms: 5x + -5x = 0
16 + -8x + -5x2 + 5x3 = 0 + 5x2 + -5x2
16 + -8x + -5x2 + 5x3 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
16 + -8x + -5x2 + 5x3 = 0

The solution to this equation could not be determined.

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