(x^4-3x^5-11x^2+3x+10)*0.5=2x^3+6x+152

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Solution for (x^4-3x^5-11x^2+3x+10)*0.5=2x^3+6x+152 equation: 


Simplifying
(x4 + -3x5 + -11x2 + 3x + 10) * 0.5 = 2x3 + 6x + 152

Reorder the terms:
(10 + 3x + -11x2 + x4 + -3x5) * 0.5 = 2x3 + 6x + 152

Reorder the terms for easier multiplication:
0.5(10 + 3x + -11x2 + x4 + -3x5) = 2x3 + 6x + 152
(10 * 0.5 + 3x * 0.5 + -11x2 * 0.5 + x4 * 0.5 + -3x5 * 0.5) = 2x3 + 6x + 152
(5 + 1.5x + -5.5x2 + 0.5x4 + -1.5x5) = 2x3 + 6x + 152

Reorder the terms:
5 + 1.5x + -5.5x2 + 0.5x4 + -1.5x5 = 152 + 6x + 2x3

Solving
5 + 1.5x + -5.5x2 + 0.5x4 + -1.5x5 = 152 + 6x + 2x3

Solving for variable 'x'.

Reorder the terms:
5 + -152 + 1.5x + -6x + -5.5x2 + -2x3 + 0.5x4 + -1.5x5 = 152 + 6x + 2x3 + -152 + -6x + -2x3

Combine like terms: 5 + -152 = -147
-147 + 1.5x + -6x + -5.5x2 + -2x3 + 0.5x4 + -1.5x5 = 152 + 6x + 2x3 + -152 + -6x + -2x3

Combine like terms: 1.5x + -6x = -4.5x
-147 + -4.5x + -5.5x2 + -2x3 + 0.5x4 + -1.5x5 = 152 + 6x + 2x3 + -152 + -6x + -2x3

Reorder the terms:
-147 + -4.5x + -5.5x2 + -2x3 + 0.5x4 + -1.5x5 = 152 + -152 + 6x + -6x + 2x3 + -2x3

Combine like terms: 152 + -152 = 0
-147 + -4.5x + -5.5x2 + -2x3 + 0.5x4 + -1.5x5 = 0 + 6x + -6x + 2x3 + -2x3
-147 + -4.5x + -5.5x2 + -2x3 + 0.5x4 + -1.5x5 = 6x + -6x + 2x3 + -2x3

Combine like terms: 6x + -6x = 0
-147 + -4.5x + -5.5x2 + -2x3 + 0.5x4 + -1.5x5 = 0 + 2x3 + -2x3
-147 + -4.5x + -5.5x2 + -2x3 + 0.5x4 + -1.5x5 = 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
-147 + -4.5x + -5.5x2 + -2x3 + 0.5x4 + -1.5x5 = 0

The solution to this equation could not be determined.

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