2x(x^2-62)=0

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Solution for 2x(x^2-62)=0 equation:


Simplifying
2x(x2 + -62) = 0

Reorder the terms:
2x(-62 + x2) = 0
(-62 * 2x + x2 * 2x) = 0
(-124x + 2x3) = 0

Solving
-124x + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-62 + x2) = 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 '(-62 + x2)' equal to zero and attempt to solve: Simplifying -62 + x2 = 0 Solving -62 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '62' to each side of the equation. -62 + 62 + x2 = 0 + 62 Combine like terms: -62 + 62 = 0 0 + x2 = 0 + 62 x2 = 0 + 62 Combine like terms: 0 + 62 = 62 x2 = 62 Simplifying x2 = 62 Take the square root of each side: x = {-7.874007874, 7.874007874}

Solution

x = {0, -7.874007874, 7.874007874}

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