X^2(4+3x+5x^2)=0

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Solution for X^2(4+3x+5x^2)=0 equation: 


Simplifying
X2(4 + 3x + 5x2) = 0
(4 * X2 + 3x * X2 + 5x2 * X2) = 0
(4X2 + 3xX2 + 5x2X2) = 0

Solving
4X2 + 3xX2 + 5x2X2 = 0

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Factor out the Greatest Common Factor (GCF), 'X2'.
X2(4 + 3x + 5x2) = 0


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 '(4 + 3x + 5x2)' equal to zero and attempt to solve:

Simplifying
4 + 3x + 5x2 = 0

Solving
4 + 3x + 5x2 = 0

Move all terms containing X to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + 3x + -4 + 5x2 = 0 + -4

Reorder the terms:
4 + -4 + 3x + 5x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3x + 5x2 = 0 + -4
3x + 5x2 = 0 + -4

Combine like terms: 0 + -4 = -4
3x + 5x2 = -4

Add '-3x' to each side of the equation.
3x + -3x + 5x2 = -4 + -3x

Combine like terms: 3x + -3x = 0
0 + 5x2 = -4 + -3x
5x2 = -4 + -3x

Add '-5x2' to each side of the equation.
5x2 + -5x2 = -4 + -3x + -5x2

Combine like terms: 5x2 + -5x2 = 0
0 = -4 + -3x + -5x2

Simplifying
0 = -4 + -3x + -5x2

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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