2x(x)=3xf(-x)+5x

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Solution for 2x(x)=3xf(-x)+5x equation: 


Simplifying
2x(x) = 3xf(-1x) + 5x

Multiply x * x
2x2 = 3xf(-1x) + 5x

Remove parenthesis around (-1x)
2x2 = 3fx * -1x + 5x

Reorder the terms for easier multiplication:
2x2 = 3 * -1fx * x + 5x

Multiply 3 * -1
2x2 = -3fx * x + 5x

Multiply fx * x
2x2 = -3fx2 + 5x

Solving
2x2 = -3fx2 + 5x

Solving for variable 'x'.

Reorder the terms:
3fx2 + -5x + 2x2 = -3fx2 + 5x + 3fx2 + -5x

Reorder the terms:
3fx2 + -5x + 2x2 = -3fx2 + 3fx2 + 5x + -5x

Combine like terms: -3fx2 + 3fx2 = 0
3fx2 + -5x + 2x2 = 0 + 5x + -5x
3fx2 + -5x + 2x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
3fx2 + -5x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(3fx + -5 + 2x) = 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 '(3fx + -5 + 2x)' equal to zero and attempt to solve:

Simplifying
3fx + -5 + 2x = 0

Reorder the terms:
-5 + 3fx + 2x = 0

Solving
-5 + 3fx + 2x = 0

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

Add '5' to each side of the equation.
-5 + 3fx + 5 + 2x = 0 + 5

Reorder the terms:
-5 + 5 + 3fx + 2x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 3fx + 2x = 0 + 5
3fx + 2x = 0 + 5

Combine like terms: 0 + 5 = 5
3fx + 2x = 5

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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