(2x+1)(x+1)=66

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Solution for (2x+1)(x+1)=66 equation: 


Simplifying
(2x + 1)(x + 1) = 66

Reorder the terms:
(1 + 2x)(x + 1) = 66

Reorder the terms:
(1 + 2x)(1 + x) = 66

Multiply (1 + 2x) * (1 + x)
(1(1 + x) + 2x * (1 + x)) = 66
((1 * 1 + x * 1) + 2x * (1 + x)) = 66
((1 + 1x) + 2x * (1 + x)) = 66
(1 + 1x + (1 * 2x + x * 2x)) = 66
(1 + 1x + (2x + 2x2)) = 66

Combine like terms: 1x + 2x = 3x
(1 + 3x + 2x2) = 66

Solving
1 + 3x + 2x2 = 66

Solving for variable 'x'.

Reorder the terms:
1 + -66 + 3x + 2x2 = 66 + -66

Combine like terms: 1 + -66 = -65
-65 + 3x + 2x2 = 66 + -66

Combine like terms: 66 + -66 = 0
-65 + 3x + 2x2 = 0

Factor a trinomial.
(-13 + -2x)(5 + -1x) = 0


Subproblem 1
Set the factor '(-13 + -2x)' equal to zero and attempt to solve:

Simplifying
-13 + -2x = 0

Solving
-13 + -2x = 0

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

Add '13' to each side of the equation.
-13 + 13 + -2x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -2x = 0 + 13
-2x = 0 + 13

Combine like terms: 0 + 13 = 13
-2x = 13

Divide each side by '-2'.
x = -6.5

Simplifying
x = -6.5

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-6.5, 5}

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