(-3x-9)(-5x-1)=

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Solution for (-3x-9)(-5x-1)= equation: 


Simplifying
(-3x + -9)(-5x + -1) = 0

Reorder the terms:
(-9 + -3x)(-5x + -1) = 0

Reorder the terms:
(-9 + -3x)(-1 + -5x) = 0

Multiply (-9 + -3x) * (-1 + -5x)
(-9(-1 + -5x) + -3x * (-1 + -5x)) = 0
((-1 * -9 + -5x * -9) + -3x * (-1 + -5x)) = 0
((9 + 45x) + -3x * (-1 + -5x)) = 0
(9 + 45x + (-1 * -3x + -5x * -3x)) = 0
(9 + 45x + (3x + 15x2)) = 0

Combine like terms: 45x + 3x = 48x
(9 + 48x + 15x2) = 0

Solving
9 + 48x + 15x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(3 + 16x + 5x2) = 0

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

Ignore the factor 3.

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

Simplifying
3 + x = 0

Solving
3 + x = 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 + x = 0 + -3

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

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

Simplifying
x = -3

Subproblem 2
Set the factor '(1 + 5x)' equal to zero and attempt to solve:

Simplifying
1 + 5x = 0

Solving
1 + 5x = 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 + 5x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5x = 0 + -1
5x = 0 + -1

Combine like terms: 0 + -1 = -1
5x = -1

Divide each side by '5'.
x = -0.2

Simplifying
x = -0.2
Solution
x = {-3, -0.2}

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