(-1+-3x)(9+2x)=0

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Solution for (-1+-3x)(9+2x)=0 equation: 


Simplifying
(-1 + -3x)(9 + 2x) = 0

Multiply (-1 + -3x) * (9 + 2x)
(-1(9 + 2x) + -3x * (9 + 2x)) = 0
((9 * -1 + 2x * -1) + -3x * (9 + 2x)) = 0
((-9 + -2x) + -3x * (9 + 2x)) = 0
(-9 + -2x + (9 * -3x + 2x * -3x)) = 0
(-9 + -2x + (-27x + -6x2)) = 0

Combine like terms: -2x + -27x = -29x
(-9 + -29x + -6x2) = 0

Solving
-9 + -29x + -6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(9 + 29x + 6x2) = 0

Factor a trinomial.
-1((9 + 2x)(1 + 3x)) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(9 + 2x)' equal to zero and attempt to solve:

Simplifying
9 + 2x = 0

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

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

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

Divide each side by '2'.
x = -4.5

Simplifying
x = -4.5

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 = {-4.5, -0.3333333333}

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