x(-3x+4)-2x=

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


Simplifying
x(-3x + 4) + -2x = 0

Reorder the terms:
x(4 + -3x) + -2x = 0
(4 * x + -3x * x) + -2x = 0
(4x + -3x2) + -2x = 0

Reorder the terms:
4x + -2x + -3x2 = 0

Combine like terms: 4x + -2x = 2x
2x + -3x2 = 0

Solving
2x + -3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(2 + -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 '(2 + -3x)' equal to zero and attempt to solve:

Simplifying
2 + -3x = 0

Solving
2 + -3x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2

Combine like terms: 0 + -2 = -2
-3x = -2

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667
Solution
x = {0, 0.6666666667}

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