-3x=x(6-2x)

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Solution for -3x=x(6-2x) equation: 


Simplifying
-3x = x(6 + -2x)
-3x = (6 * x + -2x * x)
-3x = (6x + -2x2)

Solving
-3x = 6x + -2x2

Solving for variable 'x'.

Combine like terms: -3x + -6x = -9x
-9x + 2x2 = 6x + -2x2 + -6x + 2x2

Reorder the terms:
-9x + 2x2 = 6x + -6x + -2x2 + 2x2

Combine like terms: 6x + -6x = 0
-9x + 2x2 = 0 + -2x2 + 2x2
-9x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
-9x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-9 + 2x) = 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 '(-9 + 2x)' equal to zero and attempt to solve:

Simplifying
-9 + 2x = 0

Solving
-9 + 2x = 0

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

Add '9' to each side of the equation.
-9 + 9 + 2x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 2x = 0 + 9
2x = 0 + 9

Combine like terms: 0 + 9 = 9
2x = 9

Divide each side by '2'.
x = 4.5

Simplifying
x = 4.5
Solution
x = {0, 4.5}

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