(9x-3)(5x+9)=0

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Solution for (9x-3)(5x+9)=0 equation: 


Simplifying
(9x + -3)(5x + 9) = 0

Reorder the terms:
(-3 + 9x)(5x + 9) = 0

Reorder the terms:
(-3 + 9x)(9 + 5x) = 0

Multiply (-3 + 9x) * (9 + 5x)
(-3(9 + 5x) + 9x * (9 + 5x)) = 0
((9 * -3 + 5x * -3) + 9x * (9 + 5x)) = 0
((-27 + -15x) + 9x * (9 + 5x)) = 0
(-27 + -15x + (9 * 9x + 5x * 9x)) = 0
(-27 + -15x + (81x + 45x2)) = 0

Combine like terms: -15x + 81x = 66x
(-27 + 66x + 45x2) = 0

Solving
-27 + 66x + 45x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-9 + 22x + 15x2) = 0

Factor a trinomial.
3((-9 + -5x)(1 + -3x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-9 + -5x)' equal to zero and attempt to solve:

Simplifying
-9 + -5x = 0

Solving
-9 + -5x = 0

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

Add '9' to each side of the equation.
-9 + 9 + -5x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -5x = 0 + 9
-5x = 0 + 9

Combine like terms: 0 + 9 = 9
-5x = 9

Divide each side by '-5'.
x = -1.8

Simplifying
x = -1.8

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

Simplifying
1 + -3x = 0

Solving
1 + -3x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 0 + -1
-3x = 0 + -1

Combine like terms: 0 + -1 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333
Solution
x = {-1.8, 0.3333333333}

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