-4x(x-3)=-x

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Solution for -4x(x-3)=-x equation: 


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

Reorder the terms:
-4x(-3 + x) = -1x
(-3 * -4x + x * -4x) = -1x
(12x + -4x2) = -1x

Solving
12x + -4x2 = -1x

Solving for variable 'x'.

Reorder the terms:
12x + x + -4x2 = -1x + x

Combine like terms: 12x + x = 13x
13x + -4x2 = -1x + x

Combine like terms: -1x + x = 0
13x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(13 + -4x) = 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 '(13 + -4x)' equal to zero and attempt to solve:

Simplifying
13 + -4x = 0

Solving
13 + -4x = 0

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

Add '-13' to each side of the equation.
13 + -13 + -4x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -4x = 0 + -13
-4x = 0 + -13

Combine like terms: 0 + -13 = -13
-4x = -13

Divide each side by '-4'.
x = 3.25

Simplifying
x = 3.25
Solution
x = {0, 3.25}

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