-3x(x-9)=-2x

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Solution for -3x(x-9)=-2x equation: 


Simplifying
-3x(x + -9) = -2x

Reorder the terms:
-3x(-9 + x) = -2x
(-9 * -3x + x * -3x) = -2x
(27x + -3x2) = -2x

Solving
27x + -3x2 = -2x

Solving for variable 'x'.

Reorder the terms:
27x + 2x + -3x2 = -2x + 2x

Combine like terms: 27x + 2x = 29x
29x + -3x2 = -2x + 2x

Combine like terms: -2x + 2x = 0
29x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(29 + -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 '(29 + -3x)' equal to zero and attempt to solve:

Simplifying
29 + -3x = 0

Solving
29 + -3x = 0

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

Add '-29' to each side of the equation.
29 + -29 + -3x = 0 + -29

Combine like terms: 29 + -29 = 0
0 + -3x = 0 + -29
-3x = 0 + -29

Combine like terms: 0 + -29 = -29
-3x = -29

Divide each side by '-3'.
x = 9.666666667

Simplifying
x = 9.666666667
Solution
x = {0, 9.666666667}

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