(3x-5)(x+1)=-4

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Solution for (3x-5)(x+1)=-4 equation: 


Simplifying
(3x + -5)(x + 1) = -4

Reorder the terms:
(-5 + 3x)(x + 1) = -4

Reorder the terms:
(-5 + 3x)(1 + x) = -4

Multiply (-5 + 3x) * (1 + x)
(-5(1 + x) + 3x * (1 + x)) = -4
((1 * -5 + x * -5) + 3x * (1 + x)) = -4
((-5 + -5x) + 3x * (1 + x)) = -4
(-5 + -5x + (1 * 3x + x * 3x)) = -4
(-5 + -5x + (3x + 3x2)) = -4

Combine like terms: -5x + 3x = -2x
(-5 + -2x + 3x2) = -4

Solving
-5 + -2x + 3x2 = -4

Solving for variable 'x'.

Reorder the terms:
-5 + 4 + -2x + 3x2 = -4 + 4

Combine like terms: -5 + 4 = -1
-1 + -2x + 3x2 = -4 + 4

Combine like terms: -4 + 4 = 0
-1 + -2x + 3x2 = 0

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


Subproblem 1
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

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

Simplifying
1 + -1x = 0

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

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

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

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

Simplifying
x = 1
Solution
x = {-0.3333333333, 1}

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