X(x+4)fromh(x)=x^2+4x

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


Simplifying
X(x + 4) * fromh(x) = x2 + 4x

Reorder the terms:
X(4 + x) * fromh(x) = x2 + 4x

Reorder the terms for easier multiplication:
X * fhmor * x(4 + x) = x2 + 4x

Multiply X * fhmor
fhmorX * x(4 + x) = x2 + 4x

Multiply fhmorX * x
fhmorxX(4 + x) = x2 + 4x
(4 * fhmorxX + x * fhmorxX) = x2 + 4x
(4fhmorxX + fhmorx2X) = x2 + 4x

Reorder the terms:
4fhmorxX + fhmorx2X = 4x + x2

Solving
4fhmorxX + fhmorx2X = 4x + x2

Solving for variable 'f'.

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

Reorder the terms:
4fhmorxX + fhmorx2X + -4x + -1x2 = 4x + -4x + x2 + -1x2

Combine like terms: 4x + -4x = 0
4fhmorxX + fhmorx2X + -4x + -1x2 = 0 + x2 + -1x2
4fhmorxX + fhmorx2X + -4x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
4fhmorxX + fhmorx2X + -4x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(4fhmorX + fhmorxX + -4 + -1x) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Add '-1x' to each side of the equation.
x + -1x = 0 + -1x
Remove the zero:
0 = -1x

Simplifying
0 = -1x

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 '(4fhmorX + fhmorxX + -4 + -1x)' equal to zero and attempt to solve:

Simplifying
4fhmorX + fhmorxX + -4 + -1x = 0

Reorder the terms:
-4 + 4fhmorX + fhmorxX + -1x = 0

Solving
-4 + 4fhmorX + fhmorxX + -1x = 0

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

Add '4' to each side of the equation.
-4 + 4fhmorX + fhmorxX + 4 + -1x = 0 + 4

Reorder the terms:
-4 + 4 + 4fhmorX + fhmorxX + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 4fhmorX + fhmorxX + -1x = 0 + 4
4fhmorX + fhmorxX + -1x = 0 + 4

Combine like terms: 0 + 4 = 4
4fhmorX + fhmorxX + -1x = 4

Add 'x' to each side of the equation.
4fhmorX + fhmorxX + -1x + x = 4 + x

Combine like terms: -1x + x = 0
4fhmorX + fhmorxX + 0 = 4 + x
4fhmorX + fhmorxX = 4 + x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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