0=9x^2-24x+16

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Solution for 0=9x^2-24x+16 equation: 


Simplifying
0 = 9x2 + -24x + 16

Reorder the terms:
0 = 16 + -24x + 9x2

Solving
0 = 16 + -24x + 9x2

Solving for variable 'x'.

Combine like terms: 0 + -16 = -16
-16 + 24x + -9x2 = 16 + -24x + 9x2 + -16 + 24x + -9x2

Reorder the terms:
-16 + 24x + -9x2 = 16 + -16 + -24x + 24x + 9x2 + -9x2

Combine like terms: 16 + -16 = 0
-16 + 24x + -9x2 = 0 + -24x + 24x + 9x2 + -9x2
-16 + 24x + -9x2 = -24x + 24x + 9x2 + -9x2

Combine like terms: -24x + 24x = 0
-16 + 24x + -9x2 = 0 + 9x2 + -9x2
-16 + 24x + -9x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-16 + 24x + -9x2 = 0

Factor a trinomial.
(-4 + 3x)(4 + -3x) = 0


Subproblem 1
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

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 = {1.333333333, 1.333333333}

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