48x^5=27x^4

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Solution for 48x^5=27x^4 equation:


Simplifying
48x5 = 27x4

Solving
48x5 = 27x4

Solving for variable 'x'.

Reorder the terms:
-27x4 + 48x5 = 27x4 + -27x4

Combine like terms: 27x4 + -27x4 = 0
-27x4 + 48x5 = 0

Factor out the Greatest Common Factor (GCF), '3x4'.
3x4(-9 + 16x) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'x4' equal to zero and attempt to solve: Simplifying x4 = 0 Solving x4 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x4 = 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 '(-9 + 16x)' equal to zero and attempt to solve: Simplifying -9 + 16x = 0 Solving -9 + 16x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 16x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 16x = 0 + 9 16x = 0 + 9 Combine like terms: 0 + 9 = 9 16x = 9 Divide each side by '16'. x = 0.5625 Simplifying x = 0.5625

Solution

x = {0.5625}

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