(7+(-3x-1))((2x-1)+-3)=

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Solution for (7+(-3x-1))((2x-1)+-3)= equation: 


Simplifying
(7 + (-3x + -1))((2x + -1) + -3) = 0

Reorder the terms:
(7 + (-1 + -3x))((2x + -1) + -3) = 0

Remove parenthesis around (-1 + -3x)
(7 + -1 + -3x)((2x + -1) + -3) = 0

Combine like terms: 7 + -1 = 6
(6 + -3x)((2x + -1) + -3) = 0

Reorder the terms:
(6 + -3x)((-1 + 2x) + -3) = 0

Remove parenthesis around (-1 + 2x)
(6 + -3x)(-1 + 2x + -3) = 0

Reorder the terms:
(6 + -3x)(-1 + -3 + 2x) = 0

Combine like terms: -1 + -3 = -4
(6 + -3x)(-4 + 2x) = 0

Multiply (6 + -3x) * (-4 + 2x)
(6(-4 + 2x) + -3x * (-4 + 2x)) = 0
((-4 * 6 + 2x * 6) + -3x * (-4 + 2x)) = 0
((-24 + 12x) + -3x * (-4 + 2x)) = 0
(-24 + 12x + (-4 * -3x + 2x * -3x)) = 0
(-24 + 12x + (12x + -6x2)) = 0

Combine like terms: 12x + 12x = 24x
(-24 + 24x + -6x2) = 0

Solving
-24 + 24x + -6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-4 + 4x + -1x2) = 0

Factor a trinomial.
6((-2 + x)(2 + -1x)) = 0

Ignore the factor 6.

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

Simplifying
-2 + x = 0

Solving
-2 + x = 0

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

Add '2' to each side of the equation.
-2 + 2 + x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + x = 0 + 2
x = 0 + 2

Combine like terms: 0 + 2 = 2
x = 2

Simplifying
x = 2

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {2, 2}

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