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

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


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

Reorder the terms:
(-1 + 3x)(x + 4) = -4

Reorder the terms:
(-1 + 3x)(4 + x) = -4

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

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

Add '4' to each side of the equation.
-4 + 11x + 4 + 3x2 = -4 + 4

Reorder the terms:
-4 + 4 + 11x + 3x2 = -4 + 4

Combine like terms: -4 + 4 = 0
0 + 11x + 3x2 = -4 + 4
11x + 3x2 = -4 + 4

Combine like terms: -4 + 4 = 0
11x + 3x2 = 0

Solving
11x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(11 + 3x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(11 + 3x)' equal to zero and attempt to solve:

Simplifying
11 + 3x = 0

Solving
11 + 3x = 0

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

Add '-11' to each side of the equation.
11 + -11 + 3x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 3x = 0 + -11
3x = 0 + -11

Combine like terms: 0 + -11 = -11
3x = -11

Divide each side by '3'.
x = -3.666666667

Simplifying
x = -3.666666667
Solution
x = {0, -3.666666667}

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