2(x)=x*x-4x

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Solution for 2(x)=x*x-4x equation:


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

Multiply x * x
2x = x2 + -4x

Reorder the terms:
2x = -4x + x2

Solving
2x = -4x + x2

Solving for variable 'x'.

Combine like terms: 2x + 4x = 6x
6x + -1x2 = -4x + x2 + 4x + -1x2

Reorder the terms:
6x + -1x2 = -4x + 4x + x2 + -1x2

Combine like terms: -4x + 4x = 0
6x + -1x2 = 0 + x2 + -1x2
6x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
6x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(6 + -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 x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {0, 6}

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