(-3x-1)(6x+3)=

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Solution for (-3x-1)(6x+3)= equation: 


Simplifying
(-3x + -1)(6x + 3) = 0

Reorder the terms:
(-1 + -3x)(6x + 3) = 0

Reorder the terms:
(-1 + -3x)(3 + 6x) = 0

Multiply (-1 + -3x) * (3 + 6x)
(-1(3 + 6x) + -3x * (3 + 6x)) = 0
((3 * -1 + 6x * -1) + -3x * (3 + 6x)) = 0
((-3 + -6x) + -3x * (3 + 6x)) = 0
(-3 + -6x + (3 * -3x + 6x * -3x)) = 0
(-3 + -6x + (-9x + -18x2)) = 0

Combine like terms: -6x + -9x = -15x
(-3 + -15x + -18x2) = 0

Solving
-3 + -15x + -18x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-3'.
-3(1 + 5x + 6x2) = 0

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

Ignore the factor -3.

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

Simplifying
1 + 2x = 0

Solving
1 + 2x = 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 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5

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 = {-0.5, -0.3333333333}

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