56x^6=7x^7

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Solution for 56x^6=7x^7 equation:


Simplifying
56x6 = 7x7

Solving
56x6 = 7x7

Solving for variable 'x'.

Combine like terms: 7x7 + -7x7 = 0
56x6 + -7x7 = 0

Factor out the Greatest Common Factor (GCF), '7x6'.
7x6(8 + -1x) = 0

Ignore the factor 7.

Subproblem 1

Set the factor 'x6' equal to zero and attempt to solve: Simplifying x6 = 0 Solving x6 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x6 = 0 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 '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8

Solution

x = {8}

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