24x^9-36x^7=0

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Solution for 24x^9-36x^7=0 equation:


Simplifying
24x9 + -36x7 = 0

Reorder the terms:
-36x7 + 24x9 = 0

Solving
-36x7 + 24x9 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '12x7'.
12x7(-3 + 2x2) = 0

Ignore the factor 12.

Subproblem 1

Set the factor 'x7' equal to zero and attempt to solve: Simplifying x7 = 0 Solving x7 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x7 = 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 '(-3 + 2x2)' equal to zero and attempt to solve: Simplifying -3 + 2x2 = 0 Solving -3 + 2x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2x2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2x2 = 0 + 3 2x2 = 0 + 3 Combine like terms: 0 + 3 = 3 2x2 = 3 Divide each side by '2'. x2 = 1.5 Simplifying x2 = 1.5 Take the square root of each side: x = {-1.224744871, 1.224744871}

Solution

x = {-1.224744871, 1.224744871}

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