(5x^7)=(35x^5)

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Solution for (5x^7)=(35x^5) equation:


Simplifying
(5x7) = (35x5)

Solving
(5x7) = (35x5)

Solving for variable 'x'.

Reorder the terms:
(-35x5) + (5x7) = (35x5) + (-35x5)

Combine like terms: (35x5) + (-35x5) = 0
(-35x5) + (5x7) = 0

Factor out the Greatest Common Factor (GCF), '5x5'.
5x5(-7 + x2) = 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 '(-7 + x2)' equal to zero and attempt to solve: Simplifying -7 + x2 = 0 Solving -7 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + x2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + x2 = 0 + 7 x2 = 0 + 7 Combine like terms: 0 + 7 = 7 x2 = 7 Simplifying x2 = 7 Take the square root of each side: x = {-2.645751311, 2.645751311}

Solution

x = {-2.645751311, 2.645751311}

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