e^6f^100-g^144h^36=

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Solution for e^6f^100-g^144h^36= equation:


Simplifying
e6f100 + -1g144h36 = 0

Solving
e6f100 + -1g144h36 = 0

Solving for variable 'e'.

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

Add 'g144h36' to each side of the equation.
e6f100 + -1g144h36 + g144h36 = 0 + g144h36

Combine like terms: -1g144h36 + g144h36 = 0
e6f100 + 0 = 0 + g144h36
e6f100 = 0 + g144h36
Remove the zero:
e6f100 = g144h36

Divide each side by 'f100'.
e6 = f-100g144h36

Simplifying
e6 = f-100g144h36

Combine like terms: f-100g144h36 + -1f-100g144h36 = 0
e6 + -1f-100g144h36 = 0

Factor a difference between two squares.
(e3 + f-50g72h18)(e3 + -1f-50g72h18) = 0

Subproblem 1

Set the factor '(e3 + f-50g72h18)' equal to zero and attempt to solve: Simplifying e3 + f-50g72h18 = 0 Solving e3 + f-50g72h18 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1f-50g72h18' to each side of the equation. e3 + f-50g72h18 + -1f-50g72h18 = 0 + -1f-50g72h18 Combine like terms: f-50g72h18 + -1f-50g72h18 = 0 e3 + 0 = 0 + -1f-50g72h18 e3 = 0 + -1f-50g72h18 Remove the zero: e3 = -1f-50g72h18 Simplifying e3 = -1f-50g72h18 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(e3 + -1f-50g72h18)' equal to zero and attempt to solve: Simplifying e3 + -1f-50g72h18 = 0 Solving e3 + -1f-50g72h18 = 0 Move all terms containing e to the left, all other terms to the right. Add 'f-50g72h18' to each side of the equation. e3 + -1f-50g72h18 + f-50g72h18 = 0 + f-50g72h18 Combine like terms: -1f-50g72h18 + f-50g72h18 = 0 e3 + 0 = 0 + f-50g72h18 e3 = 0 + f-50g72h18 Remove the zero: e3 = f-50g72h18 Simplifying e3 = f-50g72h18 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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