6x^4(2x^2+5x+3)=

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Solution for 6x^4(2x^2+5x+3)= equation:


Simplifying
6x4(2x2 + 5x + 3) = 0

Reorder the terms:
6x4(3 + 5x + 2x2) = 0
(3 * 6x4 + 5x * 6x4 + 2x2 * 6x4) = 0
(18x4 + 30x5 + 12x6) = 0

Solving
18x4 + 30x5 + 12x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x4'.
6x4(3 + 5x + 2x2) = 0

Factor a trinomial.
6x4((3 + 2x)(1 + 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 '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 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 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5

Subproblem 3

Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1

Solution

x = {-1.5, -1}

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