2x^4(3x+6)=

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Solution for 2x^4(3x+6)= equation:


Simplifying
2x4(3x + 6) = 0

Reorder the terms:
2x4(6 + 3x) = 0
(6 * 2x4 + 3x * 2x4) = 0
(12x4 + 6x5) = 0

Solving
12x4 + 6x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x4'.
6x4(2 + x) = 0

Ignore the factor 6.

Subproblem 1

Set the factor 'x4' equal to zero and attempt to solve: Simplifying x4 = 0 Solving x4 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x4 = 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 '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2

Solution

x = {-2}

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