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

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


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

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

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

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

Combine like terms: -1x + 15x = 14x
(-5 + 14x + 3x2) = -5

Add '5' to each side of the equation.
-5 + 14x + 5 + 3x2 = -5 + 5

Reorder the terms:
-5 + 5 + 14x + 3x2 = -5 + 5

Combine like terms: -5 + 5 = 0
0 + 14x + 3x2 = -5 + 5
14x + 3x2 = -5 + 5

Combine like terms: -5 + 5 = 0
14x + 3x2 = 0

Solving
14x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(14 + 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 '(14 + 3x)' equal to zero and attempt to solve:

Simplifying
14 + 3x = 0

Solving
14 + 3x = 0

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

Add '-14' to each side of the equation.
14 + -14 + 3x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 3x = 0 + -14
3x = 0 + -14

Combine like terms: 0 + -14 = -14
3x = -14

Divide each side by '3'.
x = -4.666666667

Simplifying
x = -4.666666667
Solution
x = {0, -4.666666667}

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