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

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


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

Reorder the terms:
(4 + -3x)(-1x + -1) = 0

Reorder the terms:
(4 + -3x)(-1 + -1x) = 0

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

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

Solving
-4 + -1x + 3x2 = 0

Solving for variable 'x'.

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


Subproblem 1
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

Subproblem 2
Set the factor '(4 + -3x)' equal to zero and attempt to solve:

Simplifying
4 + -3x = 0

Solving
4 + -3x = 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 + -3x = 0 + -4

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

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

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333
Solution
x = {-1, 1.333333333}

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