A^2+b+8(a+2b^2)-2b=24+10a-5b^3

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Solution for A^2+b+8(a+2b^2)-2b=24+10a-5b^3 equation:


Simplifying
A2 + b + 8(a + 2b2) + -2b = 24 + 10a + -5b3
A2 + b + (a * 8 + 2b2 * 8) + -2b = 24 + 10a + -5b3
A2 + b + (8a + 16b2) + -2b = 24 + 10a + -5b3

Reorder the terms:
A2 + 8a + b + -2b + 16b2 = 24 + 10a + -5b3

Combine like terms: b + -2b = -1b
A2 + 8a + -1b + 16b2 = 24 + 10a + -5b3

Solving
A2 + 8a + -1b + 16b2 = 24 + 10a + -5b3

Solving for variable 'A'.

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

Add '-8a' to each side of the equation.
A2 + 8a + -1b + -8a + 16b2 = 24 + 10a + -8a + -5b3

Reorder the terms:
A2 + 8a + -8a + -1b + 16b2 = 24 + 10a + -8a + -5b3

Combine like terms: 8a + -8a = 0
A2 + 0 + -1b + 16b2 = 24 + 10a + -8a + -5b3
A2 + -1b + 16b2 = 24 + 10a + -8a + -5b3

Combine like terms: 10a + -8a = 2a
A2 + -1b + 16b2 = 24 + 2a + -5b3

Add 'b' to each side of the equation.
A2 + -1b + b + 16b2 = 24 + 2a + b + -5b3

Combine like terms: -1b + b = 0
A2 + 0 + 16b2 = 24 + 2a + b + -5b3
A2 + 16b2 = 24 + 2a + b + -5b3

Add '-16b2' to each side of the equation.
A2 + 16b2 + -16b2 = 24 + 2a + b + -16b2 + -5b3

Combine like terms: 16b2 + -16b2 = 0
A2 + 0 = 24 + 2a + b + -16b2 + -5b3
A2 = 24 + 2a + b + -16b2 + -5b3

Simplifying
A2 = 24 + 2a + b + -16b2 + -5b3

Reorder the terms:
-24 + A2 + -2a + -1b + 16b2 + 5b3 = 24 + 2a + b + -16b2 + -5b3 + -24 + -2a + -1b + 16b2 + 5b3

Reorder the terms:
-24 + A2 + -2a + -1b + 16b2 + 5b3 = 24 + -24 + 2a + -2a + b + -1b + -16b2 + 16b2 + -5b3 + 5b3

Combine like terms: 24 + -24 = 0
-24 + A2 + -2a + -1b + 16b2 + 5b3 = 0 + 2a + -2a + b + -1b + -16b2 + 16b2 + -5b3 + 5b3
-24 + A2 + -2a + -1b + 16b2 + 5b3 = 2a + -2a + b + -1b + -16b2 + 16b2 + -5b3 + 5b3

Combine like terms: 2a + -2a = 0
-24 + A2 + -2a + -1b + 16b2 + 5b3 = 0 + b + -1b + -16b2 + 16b2 + -5b3 + 5b3
-24 + A2 + -2a + -1b + 16b2 + 5b3 = b + -1b + -16b2 + 16b2 + -5b3 + 5b3

Combine like terms: b + -1b = 0
-24 + A2 + -2a + -1b + 16b2 + 5b3 = 0 + -16b2 + 16b2 + -5b3 + 5b3
-24 + A2 + -2a + -1b + 16b2 + 5b3 = -16b2 + 16b2 + -5b3 + 5b3

Combine like terms: -16b2 + 16b2 = 0
-24 + A2 + -2a + -1b + 16b2 + 5b3 = 0 + -5b3 + 5b3
-24 + A2 + -2a + -1b + 16b2 + 5b3 = -5b3 + 5b3

Combine like terms: -5b3 + 5b3 = 0
-24 + A2 + -2a + -1b + 16b2 + 5b3 = 0

The solution to this equation could not be determined.

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