(9x-2)(6x+9)=

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Solution for (9x-2)(6x+9)= equation: 


Simplifying
(9x + -2)(6x + 9) = 0

Reorder the terms:
(-2 + 9x)(6x + 9) = 0

Reorder the terms:
(-2 + 9x)(9 + 6x) = 0

Multiply (-2 + 9x) * (9 + 6x)
(-2(9 + 6x) + 9x * (9 + 6x)) = 0
((9 * -2 + 6x * -2) + 9x * (9 + 6x)) = 0
((-18 + -12x) + 9x * (9 + 6x)) = 0
(-18 + -12x + (9 * 9x + 6x * 9x)) = 0
(-18 + -12x + (81x + 54x2)) = 0

Combine like terms: -12x + 81x = 69x
(-18 + 69x + 54x2) = 0

Solving
-18 + 69x + 54x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-6 + 23x + 18x2) = 0

Factor a trinomial.
3((-3 + -2x)(2 + -9x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-3 + -2x)' equal to zero and attempt to solve:

Simplifying
-3 + -2x = 0

Solving
-3 + -2x = 0

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

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

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

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

Divide each side by '-2'.
x = -1.5

Simplifying
x = -1.5

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

Simplifying
2 + -9x = 0

Solving
2 + -9x = 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 + -9x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -9x = 0 + -2
-9x = 0 + -2

Combine like terms: 0 + -2 = -2
-9x = -2

Divide each side by '-9'.
x = 0.2222222222

Simplifying
x = 0.2222222222
Solution
x = {-1.5, 0.2222222222}

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