x^2+30x=0.04x^3-1.2x^2+20x+50

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Solution for x^2+30x=0.04x^3-1.2x^2+20x+50 equation:


Simplifying
x2 + 30x = 0.04x3 + -1.2x2 + 20x + 50

Reorder the terms:
30x + x2 = 0.04x3 + -1.2x2 + 20x + 50

Reorder the terms:
30x + x2 = 50 + 20x + -1.2x2 + 0.04x3

Solving
30x + x2 = 50 + 20x + -1.2x2 + 0.04x3

Solving for variable 'x'.

Reorder the terms:
-50 + 30x + -20x + x2 + 1.2x2 + -0.04x3 = 50 + 20x + -1.2x2 + 0.04x3 + -50 + -20x + 1.2x2 + -0.04x3

Combine like terms: 30x + -20x = 10x
-50 + 10x + x2 + 1.2x2 + -0.04x3 = 50 + 20x + -1.2x2 + 0.04x3 + -50 + -20x + 1.2x2 + -0.04x3

Combine like terms: x2 + 1.2x2 = 2.2x2
-50 + 10x + 2.2x2 + -0.04x3 = 50 + 20x + -1.2x2 + 0.04x3 + -50 + -20x + 1.2x2 + -0.04x3

Reorder the terms:
-50 + 10x + 2.2x2 + -0.04x3 = 50 + -50 + 20x + -20x + -1.2x2 + 1.2x2 + 0.04x3 + -0.04x3

Combine like terms: 50 + -50 = 0
-50 + 10x + 2.2x2 + -0.04x3 = 0 + 20x + -20x + -1.2x2 + 1.2x2 + 0.04x3 + -0.04x3
-50 + 10x + 2.2x2 + -0.04x3 = 20x + -20x + -1.2x2 + 1.2x2 + 0.04x3 + -0.04x3

Combine like terms: 20x + -20x = 0
-50 + 10x + 2.2x2 + -0.04x3 = 0 + -1.2x2 + 1.2x2 + 0.04x3 + -0.04x3
-50 + 10x + 2.2x2 + -0.04x3 = -1.2x2 + 1.2x2 + 0.04x3 + -0.04x3

Combine like terms: -1.2x2 + 1.2x2 = 0.0
-50 + 10x + 2.2x2 + -0.04x3 = 0.0 + 0.04x3 + -0.04x3
-50 + 10x + 2.2x2 + -0.04x3 = 0.04x3 + -0.04x3

Combine like terms: 0.04x3 + -0.04x3 = 0.00
-50 + 10x + 2.2x2 + -0.04x3 = 0.00

The solution to this equation could not be determined.

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