(-4+-1x)(1+-3x)=0

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Solution for (-4+-1x)(1+-3x)=0 equation: 


Simplifying
(-4 + -1x)(1 + -3x) = 0

Multiply (-4 + -1x) * (1 + -3x)
(-4(1 + -3x) + -1x * (1 + -3x)) = 0
((1 * -4 + -3x * -4) + -1x * (1 + -3x)) = 0
((-4 + 12x) + -1x * (1 + -3x)) = 0
(-4 + 12x + (1 * -1x + -3x * -1x)) = 0
(-4 + 12x + (-1x + 3x2)) = 0

Combine like terms: 12x + -1x = 11x
(-4 + 11x + 3x2) = 0

Solving
-4 + 11x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-4 + -1x)(1 + -3x) = 0


Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

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, 0.3333333333}

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