x^4(a-b)+16(b-a)=0

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Solution for x^4(a-b)+16(b-a)=0 equation:


Simplifying
x4(a + -1b) + 16(b + -1a) = 0
(a * x4 + -1b * x4) + 16(b + -1a) = 0
(ax4 + -1bx4) + 16(b + -1a) = 0

Reorder the terms:
ax4 + -1bx4 + 16(-1a + b) = 0
ax4 + -1bx4 + (-1a * 16 + b * 16) = 0
ax4 + -1bx4 + (-16a + 16b) = 0

Reorder the terms:
-16a + ax4 + 16b + -1bx4 = 0

Solving
-16a + ax4 + 16b + -1bx4 = 0

Solving for variable 'a'.

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

Add '-16b' to each side of the equation.
-16a + ax4 + 16b + -16b + -1bx4 = 0 + -16b

Combine like terms: 16b + -16b = 0
-16a + ax4 + 0 + -1bx4 = 0 + -16b
-16a + ax4 + -1bx4 = 0 + -16b
Remove the zero:
-16a + ax4 + -1bx4 = -16b

Add 'bx4' to each side of the equation.
-16a + ax4 + -1bx4 + bx4 = -16b + bx4

Combine like terms: -1bx4 + bx4 = 0
-16a + ax4 + 0 = -16b + bx4
-16a + ax4 = -16b + bx4

Reorder the terms:
-16a + ax4 + 16b + -1bx4 = -16b + 16b + bx4 + -1bx4

Combine like terms: -16b + 16b = 0
-16a + ax4 + 16b + -1bx4 = 0 + bx4 + -1bx4
-16a + ax4 + 16b + -1bx4 = bx4 + -1bx4

Combine like terms: bx4 + -1bx4 = 0
-16a + ax4 + 16b + -1bx4 = 0

The solution to this equation could not be determined.

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