30x^5=40x^2

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Solution for 30x^5=40x^2 equation:


Simplifying
30x5 = 40x2

Solving
30x5 = 40x2

Solving for variable 'x'.

Reorder the terms:
-40x2 + 30x5 = 40x2 + -40x2

Combine like terms: 40x2 + -40x2 = 0
-40x2 + 30x5 = 0

Factor out the Greatest Common Factor (GCF), '10x2'.
10x2(-4 + 3x3) = 0

Ignore the factor 10.

Subproblem 1

Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}

Subproblem 2

Set the factor '(-4 + 3x3)' equal to zero and attempt to solve: Simplifying -4 + 3x3 = 0 Solving -4 + 3x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 3x3 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3x3 = 0 + 4 3x3 = 0 + 4 Combine like terms: 0 + 4 = 4 3x3 = 4 Divide each side by '3'. x3 = 1.333333333 Simplifying x3 = 1.333333333 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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