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

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


Simplifying
10x2(x2 + -3) = 0

Reorder the terms:
10x2(-3 + x2) = 0
(-3 * 10x2 + x2 * 10x2) = 0
(-30x2 + 10x4) = 0

Solving
-30x2 + 10x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '10x2'.
10x2(-3 + x2) = 0

Ignore the factor 10.

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 '(-3 + x2)' equal to zero and attempt to solve: Simplifying -3 + x2 = 0 Solving -3 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x2 = 0 + 3 x2 = 0 + 3 Combine like terms: 0 + 3 = 3 x2 = 3 Simplifying x2 = 3 Take the square root of each side: x = {-1.732050808, 1.732050808}

Solution

x = {0, -1.732050808, 1.732050808}

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