12x+9x^2=24x

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Solution for 12x+9x^2=24x equation: 


Simplifying
12x + 9x2 = 24x

Solving
12x + 9x2 = 24x

Solving for variable 'x'.

Reorder the terms:
12x + -24x + 9x2 = 24x + -24x

Combine like terms: 12x + -24x = -12x
-12x + 9x2 = 24x + -24x

Combine like terms: 24x + -24x = 0
-12x + 9x2 = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-4 + 3x) = 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 '(-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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