(-3x)(x^3+2x+x)=

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


Simplifying
(-3x)(x3 + 2x + x) = 0

Remove parenthesis around (-3x)
-3x(x3 + 2x + x) = 0

Reorder the terms:
-3x(2x + x + x3) = 0

Combine like terms: 2x + x = 3x
-3x(3x + x3) = 0
(3x * -3x + x3 * -3x) = 0
(-9x2 + -3x4) = 0

Solving
-9x2 + -3x4 = 0

Solving for variable 'x'.

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

Ignore the factor -3.

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 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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