16x^5+686x^2=0

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Solution for 16x^5+686x^2=0 equation:


Simplifying
16x5 + 686x2 = 0

Reorder the terms:
686x2 + 16x5 = 0

Solving
686x2 + 16x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(343 + 8x3) = 0

Ignore the factor 2.

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 '(343 + 8x3)' equal to zero and attempt to solve: Simplifying 343 + 8x3 = 0 Solving 343 + 8x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-343' to each side of the equation. 343 + -343 + 8x3 = 0 + -343 Combine like terms: 343 + -343 = 0 0 + 8x3 = 0 + -343 8x3 = 0 + -343 Combine like terms: 0 + -343 = -343 8x3 = -343 Divide each side by '8'. x3 = -42.875 Simplifying x3 = -42.875 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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