-(6x^2)*2(3-x^2)*(-2x)=

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Solution for -(6x^2)*2(3-x^2)*(-2x)= equation:


Simplifying
-1(6x2) * 2(3 + -1x2)(-2x) = 0

Remove parenthesis around (6x2)
-1 * 6x2 * 2(3 + -1x2)(-2x) = 0

Remove parenthesis around (-2x)
-1 * 6x2 * 2(3 + -1x2) * -2x = 0

Reorder the terms for easier multiplication:
-1 * 6 * 2 * -2x2 * x(3 + -1x2) = 0

Multiply -1 * 6
-6 * 2 * -2x2 * x(3 + -1x2) = 0

Multiply -6 * 2
-12 * -2x2 * x(3 + -1x2) = 0

Multiply -12 * -2
24x2 * x(3 + -1x2) = 0

Multiply x2 * x
24x3(3 + -1x2) = 0
(3 * 24x3 + -1x2 * 24x3) = 0
(72x3 + -24x5) = 0

Solving
72x3 + -24x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '24x3'.
24x3(3 + -1x2) = 0

Ignore the factor 24.

Subproblem 1

Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(3 + -1x2)' equal to zero and attempt to solve: Simplifying 3 + -1x2 = 0 Solving 3 + -1x2 = 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 + -1x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x2 = 0 + -3 -1x2 = 0 + -3 Combine like terms: 0 + -3 = -3 -1x2 = -3 Divide each side by '-1'. x2 = 3 Simplifying x2 = 3 Take the square root of each side: x = {-1.732050808, 1.732050808}

Solution

x = {-1.732050808, 1.732050808}

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