(8m^2+4)(8m^2-4)=am^4+b

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Solution for (8m^2+4)(8m^2-4)=am^4+b equation:


Simplifying
(8m2 + 4)(8m2 + -4) = am4 + b

Reorder the terms:
(4 + 8m2)(8m2 + -4) = am4 + b

Reorder the terms:
(4 + 8m2)(-4 + 8m2) = am4 + b

Multiply (4 + 8m2) * (-4 + 8m2)
(4(-4 + 8m2) + 8m2 * (-4 + 8m2)) = am4 + b
((-4 * 4 + 8m2 * 4) + 8m2 * (-4 + 8m2)) = am4 + b
((-16 + 32m2) + 8m2 * (-4 + 8m2)) = am4 + b
(-16 + 32m2 + (-4 * 8m2 + 8m2 * 8m2)) = am4 + b
(-16 + 32m2 + (-32m2 + 64m4)) = am4 + b

Combine like terms: 32m2 + -32m2 = 0
(-16 + 0 + 64m4) = am4 + b
(-16 + 64m4) = am4 + b

Solving
-16 + 64m4 = am4 + b

Solving for variable 'm'.

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

Add '-1am4' to each side of the equation.
-16 + -1am4 + 64m4 = am4 + -1am4 + b

Combine like terms: am4 + -1am4 = 0
-16 + -1am4 + 64m4 = 0 + b
-16 + -1am4 + 64m4 = b

Add '16' to each side of the equation.
-16 + -1am4 + 16 + 64m4 = 16 + b

Reorder the terms:
-16 + 16 + -1am4 + 64m4 = 16 + b

Combine like terms: -16 + 16 = 0
0 + -1am4 + 64m4 = 16 + b
-1am4 + 64m4 = 16 + b

Reorder the terms:
-16 + -1am4 + -1b + 64m4 = 16 + b + -16 + -1b

Reorder the terms:
-16 + -1am4 + -1b + 64m4 = 16 + -16 + b + -1b

Combine like terms: 16 + -16 = 0
-16 + -1am4 + -1b + 64m4 = 0 + b + -1b
-16 + -1am4 + -1b + 64m4 = b + -1b

Combine like terms: b + -1b = 0
-16 + -1am4 + -1b + 64m4 = 0

The solution to this equation could not be determined.

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