(x^7)-(3x^6)=0

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Solution for (x^7)-(3x^6)=0 equation:


Simplifying
(x7) + -1(3x6) = 0
x7 + -1(3x6) = 0

Remove parenthesis around (3x6)
x7 + -1 * 3x6 = 0

Multiply -1 * 3
x7 + -3x6 = 0

Reorder the terms:
-3x6 + x7 = 0

Solving
-3x6 + x7 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x6'.
x6(-3 + x) = 0

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 '(-3 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Simplifying x = 3

Solution

x = {3}

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