3x-(x^2-4x)=0

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Solution for 3x-(x^2-4x)=0 equation: 


Simplifying
3x + -1(x2 + -4x) = 0

Reorder the terms:
3x + -1(-4x + x2) = 0
3x + (-4x * -1 + x2 * -1) = 0
3x + (4x + -1x2) = 0

Combine like terms: 3x + 4x = 7x
7x + -1x2 = 0

Solving
7x + -1x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(7 + -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 '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {0, 7}

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