2x*(210-2x^2)=0

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Solution for 2x*(210-2x^2)=0 equation:


Simplifying
2x(210 + -2x2) = 0
(210 * 2x + -2x2 * 2x) = 0
(420x + -4x3) = 0

Solving
420x + -4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(105 + -1x2) = 0

Ignore the factor 4.

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 '(105 + -1x2)' equal to zero and attempt to solve: Simplifying 105 + -1x2 = 0 Solving 105 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-105' to each side of the equation. 105 + -105 + -1x2 = 0 + -105 Combine like terms: 105 + -105 = 0 0 + -1x2 = 0 + -105 -1x2 = 0 + -105 Combine like terms: 0 + -105 = -105 -1x2 = -105 Divide each side by '-1'. x2 = 105 Simplifying x2 = 105 Take the square root of each side: x = {-10.246950766, 10.246950766}

Solution

x = {0, -10.246950766, 10.246950766}

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