35x^3-28x=0

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Solution for 35x^3-28x=0 equation:


Simplifying
35x3 + -28x = 0

Reorder the terms:
-28x + 35x3 = 0

Solving
-28x + 35x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7x'.
7x(-4 + 5x2) = 0

Ignore the factor 7.

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 Take the square root of each side: x = {-0.894427191, 0.894427191}

Solution

x = {0, -0.894427191, 0.894427191}

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