4x(x-27)=16x

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Solution for 4x(x-27)=16x equation: 


Simplifying
4x(x + -27) = 16x

Reorder the terms:
4x(-27 + x) = 16x
(-27 * 4x + x * 4x) = 16x
(-108x + 4x2) = 16x

Solving
-108x + 4x2 = 16x

Solving for variable 'x'.

Reorder the terms:
-108x + -16x + 4x2 = 16x + -16x

Combine like terms: -108x + -16x = -124x
-124x + 4x2 = 16x + -16x

Combine like terms: 16x + -16x = 0
-124x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-31 + 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 '(-31 + x)' equal to zero and attempt to solve:

Simplifying
-31 + x = 0

Solving
-31 + x = 0

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

Add '31' to each side of the equation.
-31 + 31 + x = 0 + 31

Combine like terms: -31 + 31 = 0
0 + x = 0 + 31
x = 0 + 31

Combine like terms: 0 + 31 = 31
x = 31

Simplifying
x = 31
Solution
x = {0, 31}

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