9x^2-24x+16=(3x-4)

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Solution for 9x^2-24x+16=(3x-4) equation: 


Simplifying
9x2 + -24x + 16 = (3x + -4)

Reorder the terms:
16 + -24x + 9x2 = (3x + -4)

Reorder the terms:
16 + -24x + 9x2 = (-4 + 3x)

Remove parenthesis around (-4 + 3x)
16 + -24x + 9x2 = -4 + 3x

Solving
16 + -24x + 9x2 = -4 + 3x

Solving for variable 'x'.

Reorder the terms:
16 + 4 + -24x + -3x + 9x2 = -4 + 3x + 4 + -3x

Combine like terms: 16 + 4 = 20
20 + -24x + -3x + 9x2 = -4 + 3x + 4 + -3x

Combine like terms: -24x + -3x = -27x
20 + -27x + 9x2 = -4 + 3x + 4 + -3x

Reorder the terms:
20 + -27x + 9x2 = -4 + 4 + 3x + -3x

Combine like terms: -4 + 4 = 0
20 + -27x + 9x2 = 0 + 3x + -3x
20 + -27x + 9x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
20 + -27x + 9x2 = 0

Factor a trinomial.
(4 + -3x)(5 + -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 '(5 + -3x)' equal to zero and attempt to solve:

Simplifying
5 + -3x = 0

Solving
5 + -3x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = 0 + -5
-3x = 0 + -5

Combine like terms: 0 + -5 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667
Solution
x = {1.333333333, 1.666666667}

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