4+x(x-4)=4

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Solution for 4+x(x-4)=4 equation: 


Simplifying
4 + x(x + -4) = 4

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

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

Reorder the terms:
4 + -4 + -4x + x2 = 4 + -4

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

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

Solving
-4x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-4 + x) = 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 '(-4 + x)' equal to zero and attempt to solve:

Simplifying
-4 + x = 0

Solving
-4 + x = 0

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

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

Combine like terms: -4 + 4 = 0
0 + x = 0 + 4
x = 0 + 4

Combine like terms: 0 + 4 = 4
x = 4

Simplifying
x = 4
Solution
x = {0, 4}

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