4x^3-8x=14x^3

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Solution for 4x^3-8x=14x^3 equation:


Simplifying
4x3 + -8x = 14x3

Reorder the terms:
-8x + 4x3 = 14x3

Solving
-8x + 4x3 = 14x3

Solving for variable 'x'.

Combine like terms: 4x3 + -14x3 = -10x3
-8x + -10x3 = 14x3 + -14x3

Combine like terms: 14x3 + -14x3 = 0
-8x + -10x3 = 0

Factor out the Greatest Common Factor (GCF), '-2x'.
-2x(4 + 5x2) = 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 '(4 + 5x2)' equal to zero and attempt to solve: Simplifying 4 + 5x2 = 0 Solving 4 + 5x2 = 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 + 5x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5x2 = 0 + -4 5x2 = 0 + -4 Combine like terms: 0 + -4 = -4 5x2 = -4 Divide each side by '5'. x2 = -0.8 Simplifying x2 = -0.8 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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