(9x-6)(x+16)=0

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Solution for (9x-6)(x+16)=0 equation: 


Simplifying
(9x + -6)(x + 16) = 0

Reorder the terms:
(-6 + 9x)(x + 16) = 0

Reorder the terms:
(-6 + 9x)(16 + x) = 0

Multiply (-6 + 9x) * (16 + x)
(-6(16 + x) + 9x * (16 + x)) = 0
((16 * -6 + x * -6) + 9x * (16 + x)) = 0
((-96 + -6x) + 9x * (16 + x)) = 0
(-96 + -6x + (16 * 9x + x * 9x)) = 0
(-96 + -6x + (144x + 9x2)) = 0

Combine like terms: -6x + 144x = 138x
(-96 + 138x + 9x2) = 0

Solving
-96 + 138x + 9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-32 + 46x + 3x2) = 0

Factor a trinomial.
3((-16 + -1x)(2 + -3x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-16 + -1x)' equal to zero and attempt to solve:

Simplifying
-16 + -1x = 0

Solving
-16 + -1x = 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 + -1x = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -1x = 0 + 16
-1x = 0 + 16

Combine like terms: 0 + 16 = 16
-1x = 16

Divide each side by '-1'.
x = -16

Simplifying
x = -16

Subproblem 2
Set the factor '(2 + -3x)' equal to zero and attempt to solve:

Simplifying
2 + -3x = 0

Solving
2 + -3x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2

Combine like terms: 0 + -2 = -2
-3x = -2

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667
Solution
x = {-16, 0.6666666667}

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