4x^4-16x^3+(15+4a)x^2-16ax+15=0

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Solution for 4x^4-16x^3+(15+4a)x^2-16ax+15=0 equation: 


Simplifying
4x4 + -16x3 + (15 + 4a) * x2 + -16ax + 15 = 0

Reorder the terms for easier multiplication:
4x4 + -16x3 + x2(15 + 4a) + -16ax + 15 = 0
4x4 + -16x3 + (15 * x2 + 4a * x2) + -16ax + 15 = 0

Reorder the terms:
4x4 + -16x3 + (4ax2 + 15x2) + -16ax + 15 = 0
4x4 + -16x3 + (4ax2 + 15x2) + -16ax + 15 = 0

Reorder the terms:
15 + -16ax + 4ax2 + 15x2 + -16x3 + 4x4 = 0

Solving
15 + -16ax + 4ax2 + 15x2 + -16x3 + 4x4 = 0

Solving for variable 'a'.

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

Add '-15' to each side of the equation.
15 + -16ax + 4ax2 + 15x2 + -16x3 + -15 + 4x4 = 0 + -15

Reorder the terms:
15 + -15 + -16ax + 4ax2 + 15x2 + -16x3 + 4x4 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -16ax + 4ax2 + 15x2 + -16x3 + 4x4 = 0 + -15
-16ax + 4ax2 + 15x2 + -16x3 + 4x4 = 0 + -15

Combine like terms: 0 + -15 = -15
-16ax + 4ax2 + 15x2 + -16x3 + 4x4 = -15

Add '-15x2' to each side of the equation.
-16ax + 4ax2 + 15x2 + -16x3 + -15x2 + 4x4 = -15 + -15x2

Reorder the terms:
-16ax + 4ax2 + 15x2 + -15x2 + -16x3 + 4x4 = -15 + -15x2

Combine like terms: 15x2 + -15x2 = 0
-16ax + 4ax2 + 0 + -16x3 + 4x4 = -15 + -15x2
-16ax + 4ax2 + -16x3 + 4x4 = -15 + -15x2

Add '16x3' to each side of the equation.
-16ax + 4ax2 + -16x3 + 16x3 + 4x4 = -15 + -15x2 + 16x3

Combine like terms: -16x3 + 16x3 = 0
-16ax + 4ax2 + 0 + 4x4 = -15 + -15x2 + 16x3
-16ax + 4ax2 + 4x4 = -15 + -15x2 + 16x3

Add '-4x4' to each side of the equation.
-16ax + 4ax2 + 4x4 + -4x4 = -15 + -15x2 + 16x3 + -4x4

Combine like terms: 4x4 + -4x4 = 0
-16ax + 4ax2 + 0 = -15 + -15x2 + 16x3 + -4x4
-16ax + 4ax2 = -15 + -15x2 + 16x3 + -4x4

Reorder the terms:
15 + -16ax + 4ax2 + 15x2 + -16x3 + 4x4 = -15 + -15x2 + 16x3 + -4x4 + 15 + 15x2 + -16x3 + 4x4

Reorder the terms:
15 + -16ax + 4ax2 + 15x2 + -16x3 + 4x4 = -15 + 15 + -15x2 + 15x2 + 16x3 + -16x3 + -4x4 + 4x4

Combine like terms: -15 + 15 = 0
15 + -16ax + 4ax2 + 15x2 + -16x3 + 4x4 = 0 + -15x2 + 15x2 + 16x3 + -16x3 + -4x4 + 4x4
15 + -16ax + 4ax2 + 15x2 + -16x3 + 4x4 = -15x2 + 15x2 + 16x3 + -16x3 + -4x4 + 4x4

Combine like terms: -15x2 + 15x2 = 0
15 + -16ax + 4ax2 + 15x2 + -16x3 + 4x4 = 0 + 16x3 + -16x3 + -4x4 + 4x4
15 + -16ax + 4ax2 + 15x2 + -16x3 + 4x4 = 16x3 + -16x3 + -4x4 + 4x4

Combine like terms: 16x3 + -16x3 = 0
15 + -16ax + 4ax2 + 15x2 + -16x3 + 4x4 = 0 + -4x4 + 4x4
15 + -16ax + 4ax2 + 15x2 + -16x3 + 4x4 = -4x4 + 4x4

Combine like terms: -4x4 + 4x4 = 0
15 + -16ax + 4ax2 + 15x2 + -16x3 + 4x4 = 0

The solution to this equation could not be determined.

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