3x^3=4x

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Solution for 3x^3=4x equation:


Simplifying
3x3 = 4x

Solving
3x3 = 4x

Solving for variable 'x'.

Reorder the terms:
-4x + 3x3 = 4x + -4x

Combine like terms: 4x + -4x = 0
-4x + 3x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-4 + 3x2) = 0

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 + 3x2)' equal to zero and attempt to solve: Simplifying -4 + 3x2 = 0 Solving -4 + 3x2 = 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 + 3x2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3x2 = 0 + 4 3x2 = 0 + 4 Combine like terms: 0 + 4 = 4 3x2 = 4 Divide each side by '3'. x2 = 1.333333333 Simplifying x2 = 1.333333333 Take the square root of each side: x = {-1.154700538, 1.154700538}

Solution

x = {0, -1.154700538, 1.154700538}

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