9x^2=12x+4x-0

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Solution for 9x^2=12x+4x-0 equation: 


Simplifying
9x2 = 12x + 4x + 0

Reorder the terms:
9x2 = 0 + 12x + 4x
Remove the zero:
9x2 = 12x + 4x

Combine like terms: 12x + 4x = 16x
9x2 = 16x

Solving
9x2 = 16x

Solving for variable 'x'.

Reorder the terms:
-16x + 9x2 = 16x + -16x

Combine like terms: 16x + -16x = 0
-16x + 9x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-16 + 9x) = 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 '(-16 + 9x)' equal to zero and attempt to solve:

Simplifying
-16 + 9x = 0

Solving
-16 + 9x = 0

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

Add '16' to each side of the equation.
-16 + 16 + 9x = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 9x = 0 + 16
9x = 0 + 16

Combine like terms: 0 + 16 = 16
9x = 16

Divide each side by '9'.
x = 1.777777778

Simplifying
x = 1.777777778
Solution
x = {0, 1.777777778}

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