2x^3-50a^2x+24x^2+72x=0

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Solution for 2x^3-50a^2x+24x^2+72x=0 equation: 


Simplifying
2x3 + -50a2x + 24x2 + 72x = 0

Reorder the terms:
-50a2x + 72x + 24x2 + 2x3 = 0

Solving
-50a2x + 72x + 24x2 + 2x3 = 0

Solving for variable 'a'.

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

Add '-72x' to each side of the equation.
-50a2x + 72x + 24x2 + -72x + 2x3 = 0 + -72x

Reorder the terms:
-50a2x + 72x + -72x + 24x2 + 2x3 = 0 + -72x

Combine like terms: 72x + -72x = 0
-50a2x + 0 + 24x2 + 2x3 = 0 + -72x
-50a2x + 24x2 + 2x3 = 0 + -72x
Remove the zero:
-50a2x + 24x2 + 2x3 = -72x

Add '-24x2' to each side of the equation.
-50a2x + 24x2 + -24x2 + 2x3 = -72x + -24x2

Combine like terms: 24x2 + -24x2 = 0
-50a2x + 0 + 2x3 = -72x + -24x2
-50a2x + 2x3 = -72x + -24x2

Add '-2x3' to each side of the equation.
-50a2x + 2x3 + -2x3 = -72x + -24x2 + -2x3

Combine like terms: 2x3 + -2x3 = 0
-50a2x + 0 = -72x + -24x2 + -2x3
-50a2x = -72x + -24x2 + -2x3

Divide each side by '-50x'.
a2 = 1.44 + 0.48x + 0.04x2

Simplifying
a2 = 1.44 + 0.48x + 0.04x2

Reorder the terms:
-1.44 + a2 + -0.48x + -0.04x2 = 1.44 + 0.48x + 0.04x2 + -1.44 + -0.48x + -0.04x2

Reorder the terms:
-1.44 + a2 + -0.48x + -0.04x2 = 1.44 + -1.44 + 0.48x + -0.48x + 0.04x2 + -0.04x2

Combine like terms: 1.44 + -1.44 = 0.00
-1.44 + a2 + -0.48x + -0.04x2 = 0.00 + 0.48x + -0.48x + 0.04x2 + -0.04x2
-1.44 + a2 + -0.48x + -0.04x2 = 0.48x + -0.48x + 0.04x2 + -0.04x2

Combine like terms: 0.48x + -0.48x = 0.00
-1.44 + a2 + -0.48x + -0.04x2 = 0.00 + 0.04x2 + -0.04x2
-1.44 + a2 + -0.48x + -0.04x2 = 0.04x2 + -0.04x2

Combine like terms: 0.04x2 + -0.04x2 = 0.00
-1.44 + a2 + -0.48x + -0.04x2 = 0.00

The solution to this equation could not be determined.

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