75c^9=3c^7

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Solution for 75c^9=3c^7 equation:


Simplifying
75c9 = 3c7

Solving
75c9 = 3c7

Solving for variable 'c'.

Reorder the terms:
-3c7 + 75c9 = 3c7 + -3c7

Combine like terms: 3c7 + -3c7 = 0
-3c7 + 75c9 = 0

Factor out the Greatest Common Factor (GCF), '3c7'.
3c7(-1 + 25c2) = 0

Factor a difference between two squares.
3c7((1 + 5c)(-1 + 5c)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'c7' equal to zero and attempt to solve: Simplifying c7 = 0 Solving c7 = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c7 = 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 + 5c)' equal to zero and attempt to solve: Simplifying 1 + 5c = 0 Solving 1 + 5c = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5c = 0 + -1 5c = 0 + -1 Combine like terms: 0 + -1 = -1 5c = -1 Divide each side by '5'. c = -0.2 Simplifying c = -0.2

Subproblem 3

Set the factor '(-1 + 5c)' equal to zero and attempt to solve: Simplifying -1 + 5c = 0 Solving -1 + 5c = 0 Move all terms containing c to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 5c = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 5c = 0 + 1 5c = 0 + 1 Combine like terms: 0 + 1 = 1 5c = 1 Divide each side by '5'. c = 0.2 Simplifying c = 0.2

Solution

c = {-0.2, 0.2}

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