(X^2+4)*4x=x*3

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


Simplifying
(X2 + 4) * 4x = x * 3

Reorder the terms:
(4 + X2) * 4x = x * 3

Reorder the terms for easier multiplication:
4x(4 + X2) = x * 3
(4 * 4x + X2 * 4x) = x * 3
(16x + 4xX2) = x * 3

Reorder the terms for easier multiplication:
16x + 4xX2 = 3x

Solving
16x + 4xX2 = 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
16x + -3x + 4xX2 = 3x + -3x

Combine like terms: 16x + -3x = 13x
13x + 4xX2 = 3x + -3x

Combine like terms: 3x + -3x = 0
13x + 4xX2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(13 + 4X2) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(13 + 4X2)' equal to zero and attempt to solve:

Simplifying
13 + 4X2 = 0

Solving
13 + 4X2 = 0

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

Add '-13' to each side of the equation.
13 + -13 + 4X2 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 4X2 = 0 + -13
4X2 = 0 + -13

Combine like terms: 0 + -13 = -13
4X2 = -13

Add '-4X2' to each side of the equation.
4X2 + -4X2 = -13 + -4X2

Combine like terms: 4X2 + -4X2 = 0
0 = -13 + -4X2

Simplifying
0 = -13 + -4X2

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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