4x(x+2)=16x

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Solution for 4x(x+2)=16x equation: 


Simplifying
4x(x + 2) = 16x

Reorder the terms:
4x(2 + x) = 16x
(2 * 4x + x * 4x) = 16x
(8x + 4x2) = 16x

Solving
8x + 4x2 = 16x

Solving for variable 'x'.

Reorder the terms:
8x + -16x + 4x2 = 16x + -16x

Combine like terms: 8x + -16x = -8x
-8x + 4x2 = 16x + -16x

Combine like terms: 16x + -16x = 0
-8x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-2 + x) = 0

Ignore the factor 4.

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 '(-2 + x)' equal to zero and attempt to solve:

Simplifying
-2 + x = 0

Solving
-2 + x = 0

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

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

Combine like terms: -2 + 2 = 0
0 + x = 0 + 2
x = 0 + 2

Combine like terms: 0 + 2 = 2
x = 2

Simplifying
x = 2
Solution
x = {0, 2}

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