(36x^6)-(34x^4)=0

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Solution for (36x^6)-(34x^4)=0 equation:


Simplifying
(36x6) + -1(34x4) = 0

Remove parenthesis around (34x4)
(36x6) + -1 * 34x4 = 0

Multiply -1 * 34
(36x6) + -34x4 = 0

Reorder the terms:
-34x4 + (36x6) = 0

Solving
-34x4 + (36x6) = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x4'.
2x4(-17 + (18x2)) = 0

Ignore the factor 2.

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 '(-17 + (18x2))' equal to zero and attempt to solve: Simplifying -17 + (18x2) = 0 Solving -17 + (18x2) = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + (18x2) = 0 + 17 Combine like terms: -17 + 17 = 0 0 + (18x2) = 0 + 17 (18x2) = 0 + 17 Combine like terms: 0 + 17 = 17 (18x2) = 17 Divide each side by '18'. x2 = 0.9444444444 Simplifying x2 = 0.9444444444 Take the square root of each side: x = {-0.971825316, 0.971825316}

Solution

x = {-0.971825316, 0.971825316}

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