0=9x^2-32x-16

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Solution for 0=9x^2-32x-16 equation: 


Simplifying
0 = 9x2 + -32x + -16

Reorder the terms:
0 = -16 + -32x + 9x2

Solving
0 = -16 + -32x + 9x2

Solving for variable 'x'.

Combine like terms: 0 + 16 = 16
16 + 32x + -9x2 = -16 + -32x + 9x2 + 16 + 32x + -9x2

Reorder the terms:
16 + 32x + -9x2 = -16 + 16 + -32x + 32x + 9x2 + -9x2

Combine like terms: -16 + 16 = 0
16 + 32x + -9x2 = 0 + -32x + 32x + 9x2 + -9x2
16 + 32x + -9x2 = -32x + 32x + 9x2 + -9x2

Combine like terms: -32x + 32x = 0
16 + 32x + -9x2 = 0 + 9x2 + -9x2
16 + 32x + -9x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
16 + 32x + -9x2 = 0

Factor a trinomial.
(4 + -1x)(4 + 9x) = 0


Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 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 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

Subproblem 2
Set the factor '(4 + 9x)' equal to zero and attempt to solve:

Simplifying
4 + 9x = 0

Solving
4 + 9x = 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 + 9x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 9x = 0 + -4
9x = 0 + -4

Combine like terms: 0 + -4 = -4
9x = -4

Divide each side by '9'.
x = -0.4444444444

Simplifying
x = -0.4444444444
Solution
x = {4, -0.4444444444}

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