x^2(2x^3-10)=0

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Solution for x^2(2x^3-10)=0 equation:


Simplifying
x2(2x3 + -10) = 0

Reorder the terms:
x2(-10 + 2x3) = 0
(-10 * x2 + 2x3 * x2) = 0
(-10x2 + 2x5) = 0

Solving
-10x2 + 2x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(-5 + x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}

Subproblem 2

Set the factor '(-5 + x3)' equal to zero and attempt to solve: Simplifying -5 + x3 = 0 Solving -5 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + x3 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x3 = 0 + 5 x3 = 0 + 5 Combine like terms: 0 + 5 = 5 x3 = 5 Simplifying x3 = 5 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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