-3x(x-4)=9x

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Solution for -3x(x-4)=9x equation: 


Simplifying
-3x(x + -4) = 9x

Reorder the terms:
-3x(-4 + x) = 9x
(-4 * -3x + x * -3x) = 9x
(12x + -3x2) = 9x

Solving
12x + -3x2 = 9x

Solving for variable 'x'.

Reorder the terms:
12x + -9x + -3x2 = 9x + -9x

Combine like terms: 12x + -9x = 3x
3x + -3x2 = 9x + -9x

Combine like terms: 9x + -9x = 0
3x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(1 + -1x) = 0

Ignore the factor 3.

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 '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {0, 1}

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