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

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Solution for (-3x)(x-1)+x= equation: 


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

Remove parenthesis around (-3x)
-3x(x + -1) + x = 0

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

Reorder the terms:
3x + x + -3x2 = 0

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

Solving
4x + -3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(4 + -3x) = 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 '(4 + -3x)' equal to zero and attempt to solve:

Simplifying
4 + -3x = 0

Solving
4 + -3x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 0 + -4
-3x = 0 + -4

Combine like terms: 0 + -4 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333
Solution
x = {0, 1.333333333}

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