x=-0.5x^3+1.5x^2+5x-12

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Solution for x=-0.5x^3+1.5x^2+5x-12 equation: 


Simplifying
x = -0.5x3 + 1.5x2 + 5x + -12

Reorder the terms:
x = -12 + 5x + 1.5x2 + -0.5x3

Solving
x = -12 + 5x + 1.5x2 + -0.5x3

Solving for variable 'x'.

Reorder the terms:
12 + x + -5x + -1.5x2 + 0.5x3 = -12 + 5x + 1.5x2 + -0.5x3 + 12 + -5x + -1.5x2 + 0.5x3

Combine like terms: x + -5x = -4x
12 + -4x + -1.5x2 + 0.5x3 = -12 + 5x + 1.5x2 + -0.5x3 + 12 + -5x + -1.5x2 + 0.5x3

Reorder the terms:
12 + -4x + -1.5x2 + 0.5x3 = -12 + 12 + 5x + -5x + 1.5x2 + -1.5x2 + -0.5x3 + 0.5x3

Combine like terms: -12 + 12 = 0
12 + -4x + -1.5x2 + 0.5x3 = 0 + 5x + -5x + 1.5x2 + -1.5x2 + -0.5x3 + 0.5x3
12 + -4x + -1.5x2 + 0.5x3 = 5x + -5x + 1.5x2 + -1.5x2 + -0.5x3 + 0.5x3

Combine like terms: 5x + -5x = 0
12 + -4x + -1.5x2 + 0.5x3 = 0 + 1.5x2 + -1.5x2 + -0.5x3 + 0.5x3
12 + -4x + -1.5x2 + 0.5x3 = 1.5x2 + -1.5x2 + -0.5x3 + 0.5x3

Combine like terms: 1.5x2 + -1.5x2 = 0.0
12 + -4x + -1.5x2 + 0.5x3 = 0.0 + -0.5x3 + 0.5x3
12 + -4x + -1.5x2 + 0.5x3 = -0.5x3 + 0.5x3

Combine like terms: -0.5x3 + 0.5x3 = 0.0
12 + -4x + -1.5x2 + 0.5x3 = 0.0

The solution to this equation could not be determined.

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