a^2d^2f^2+c^2b^2f^2+e^2b^2d^2=7b^2d^2f^2

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Solution for a^2d^2f^2+c^2b^2f^2+e^2b^2d^2=7b^2d^2f^2 equation:


Simplifying
a2d2f2 + c2b2f2 + e2b2d2 = 7b2d2f2

Solving
a2d2f2 + b2c2f2 + b2d2e2 = 7b2d2f2

Solving for variable 'a'.

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

Add '-1b2c2f2' to each side of the equation.
a2d2f2 + b2c2f2 + -1b2c2f2 + b2d2e2 = -1b2c2f2 + 7b2d2f2

Combine like terms: b2c2f2 + -1b2c2f2 = 0
a2d2f2 + 0 + b2d2e2 = -1b2c2f2 + 7b2d2f2
a2d2f2 + b2d2e2 = -1b2c2f2 + 7b2d2f2

Add '-1b2d2e2' to each side of the equation.
a2d2f2 + b2d2e2 + -1b2d2e2 = -1b2c2f2 + -1b2d2e2 + 7b2d2f2

Combine like terms: b2d2e2 + -1b2d2e2 = 0
a2d2f2 + 0 = -1b2c2f2 + -1b2d2e2 + 7b2d2f2
a2d2f2 = -1b2c2f2 + -1b2d2e2 + 7b2d2f2

Divide each side by 'd2f2'.
a2 = -1b2c2d-2 + -1b2e2f-2 + 7b2

Simplifying
a2 = -1b2c2d-2 + -1b2e2f-2 + 7b2

Reorder the terms:
a2 = 7b2 + -1b2c2d-2 + -1b2e2f-2

Reorder the terms:
a2 + -7b2 + b2c2d-2 + b2e2f-2 = 7b2 + -7b2 + -1b2c2d-2 + b2c2d-2 + -1b2e2f-2 + b2e2f-2

Combine like terms: 7b2 + -7b2 = 0
a2 + -7b2 + b2c2d-2 + b2e2f-2 = 0 + -1b2c2d-2 + b2c2d-2 + -1b2e2f-2 + b2e2f-2
a2 + -7b2 + b2c2d-2 + b2e2f-2 = -1b2c2d-2 + b2c2d-2 + -1b2e2f-2 + b2e2f-2

Combine like terms: -1b2c2d-2 + b2c2d-2 = 0
a2 + -7b2 + b2c2d-2 + b2e2f-2 = 0 + -1b2e2f-2 + b2e2f-2
a2 + -7b2 + b2c2d-2 + b2e2f-2 = -1b2e2f-2 + b2e2f-2

Combine like terms: -1b2e2f-2 + b2e2f-2 = 0
a2 + -7b2 + b2c2d-2 + b2e2f-2 = 0

The solution to this equation could not be determined.

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