4x^3-7x=0

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Solution for 4x^3-7x=0 equation:


Simplifying
4x3 + -7x = 0

Reorder the terms:
-7x + 4x3 = 0

Solving
-7x + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-7 + 4x2) = 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 '(-7 + 4x2)' equal to zero and attempt to solve: Simplifying -7 + 4x2 = 0 Solving -7 + 4x2 = 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 + 4x2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 4x2 = 0 + 7 4x2 = 0 + 7 Combine like terms: 0 + 7 = 7 4x2 = 7 Divide each side by '4'. x2 = 1.75 Simplifying x2 = 1.75 Take the square root of each side: x = {-1.322875656, 1.322875656}

Solution

x = {0, -1.322875656, 1.322875656}

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