x^7=19x^5

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Solution for x^7=19x^5 equation:


Simplifying
x7 = 19x5

Solving
x7 = 19x5

Solving for variable 'x'.

Reorder the terms:
-19x5 + x7 = 19x5 + -19x5

Combine like terms: 19x5 + -19x5 = 0
-19x5 + x7 = 0

Factor out the Greatest Common Factor (GCF), 'x5'.
x5(-19 + x2) = 0

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 '(-19 + x2)' equal to zero and attempt to solve: Simplifying -19 + x2 = 0 Solving -19 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + x2 = 0 + 19 Combine like terms: -19 + 19 = 0 0 + x2 = 0 + 19 x2 = 0 + 19 Combine like terms: 0 + 19 = 19 x2 = 19 Simplifying x2 = 19 Take the square root of each side: x = {-4.358898944, 4.358898944}

Solution

x = {-4.358898944, 4.358898944}

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