55x^7=5x^5

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Solution for 55x^7=5x^5 equation:


Simplifying
55x7 = 5x5

Solving
55x7 = 5x5

Solving for variable 'x'.

Reorder the terms:
-5x5 + 55x7 = 5x5 + -5x5

Combine like terms: 5x5 + -5x5 = 0
-5x5 + 55x7 = 0

Factor out the Greatest Common Factor (GCF), '5x5'.
5x5(-1 + 11x2) = 0

Ignore the factor 5.

Subproblem 1

Set the factor 'x5' equal to zero and attempt to solve: Simplifying x5 = 0 Solving x5 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x5 = 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 '(-1 + 11x2)' equal to zero and attempt to solve: Simplifying -1 + 11x2 = 0 Solving -1 + 11x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 11x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 11x2 = 0 + 1 11x2 = 0 + 1 Combine like terms: 0 + 1 = 1 11x2 = 1 Divide each side by '11'. x2 = 0.09090909091 Simplifying x2 = 0.09090909091 Take the square root of each side: x = {-0.301511345, 0.301511345}

Solution

x = {-0.301511345, 0.301511345}

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