x^3-5x^3-14x=0

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Solution for x^3-5x^3-14x=0 equation:


Simplifying
x3 + -5x3 + -14x = 0

Reorder the terms:
-14x + x3 + -5x3 = 0

Combine like terms: x3 + -5x3 = -4x3
-14x + -4x3 = 0

Solving
-14x + -4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-2x'.
-2x(7 + 2x2) = 0

Ignore the factor -2.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(7 + 2x2)' equal to zero and attempt to solve: Simplifying 7 + 2x2 = 0 Solving 7 + 2x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2x2 = 0 + -7 2x2 = 0 + -7 Combine like terms: 0 + -7 = -7 2x2 = -7 Divide each side by '2'. x2 = -3.5 Simplifying x2 = -3.5 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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