(X+1)(X+3)=6X+11

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Solution for (X+1)(X+3)=6X+11 equation: 


Simplifying
(X + 1)(X + 3) = 6X + 11

Reorder the terms:
(1 + X)(X + 3) = 6X + 11

Reorder the terms:
(1 + X)(3 + X) = 6X + 11

Multiply (1 + X) * (3 + X)
(1(3 + X) + X(3 + X)) = 6X + 11
((3 * 1 + X * 1) + X(3 + X)) = 6X + 11
((3 + 1X) + X(3 + X)) = 6X + 11
(3 + 1X + (3 * X + X * X)) = 6X + 11
(3 + 1X + (3X + X2)) = 6X + 11

Combine like terms: 1X + 3X = 4X
(3 + 4X + X2) = 6X + 11

Reorder the terms:
3 + 4X + X2 = 11 + 6X

Solving
3 + 4X + X2 = 11 + 6X

Solving for variable 'X'.

Reorder the terms:
3 + -11 + 4X + -6X + X2 = 11 + 6X + -11 + -6X

Combine like terms: 3 + -11 = -8
-8 + 4X + -6X + X2 = 11 + 6X + -11 + -6X

Combine like terms: 4X + -6X = -2X
-8 + -2X + X2 = 11 + 6X + -11 + -6X

Reorder the terms:
-8 + -2X + X2 = 11 + -11 + 6X + -6X

Combine like terms: 11 + -11 = 0
-8 + -2X + X2 = 0 + 6X + -6X
-8 + -2X + X2 = 6X + -6X

Combine like terms: 6X + -6X = 0
-8 + -2X + X2 = 0

Factor a trinomial.
(-2 + -1X)(4 + -1X) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(4 + -1X)' equal to zero and attempt to solve:

Simplifying
4 + -1X = 0

Solving
4 + -1X = 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 + -1X = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1X = 0 + -4
-1X = 0 + -4

Combine like terms: 0 + -4 = -4
-1X = -4

Divide each side by '-1'.
X = 4

Simplifying
X = 4
Solution
X = {-2, 4}

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