(2x+1)(16x+11)=2x+92

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Solution for (2x+1)(16x+11)=2x+92 equation: 


Simplifying
(2x + 1)(16x + 11) = 2x + 92

Reorder the terms:
(1 + 2x)(16x + 11) = 2x + 92

Reorder the terms:
(1 + 2x)(11 + 16x) = 2x + 92

Multiply (1 + 2x) * (11 + 16x)
(1(11 + 16x) + 2x * (11 + 16x)) = 2x + 92
((11 * 1 + 16x * 1) + 2x * (11 + 16x)) = 2x + 92
((11 + 16x) + 2x * (11 + 16x)) = 2x + 92
(11 + 16x + (11 * 2x + 16x * 2x)) = 2x + 92
(11 + 16x + (22x + 32x2)) = 2x + 92

Combine like terms: 16x + 22x = 38x
(11 + 38x + 32x2) = 2x + 92

Reorder the terms:
11 + 38x + 32x2 = 92 + 2x

Solving
11 + 38x + 32x2 = 92 + 2x

Solving for variable 'x'.

Reorder the terms:
11 + -92 + 38x + -2x + 32x2 = 92 + 2x + -92 + -2x

Combine like terms: 11 + -92 = -81
-81 + 38x + -2x + 32x2 = 92 + 2x + -92 + -2x

Combine like terms: 38x + -2x = 36x
-81 + 36x + 32x2 = 92 + 2x + -92 + -2x

Reorder the terms:
-81 + 36x + 32x2 = 92 + -92 + 2x + -2x

Combine like terms: 92 + -92 = 0
-81 + 36x + 32x2 = 0 + 2x + -2x
-81 + 36x + 32x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-81 + 36x + 32x2 = 0

Factor a trinomial.
(-9 + -4x)(9 + -8x) = 0


Subproblem 1
Set the factor '(-9 + -4x)' equal to zero and attempt to solve:

Simplifying
-9 + -4x = 0

Solving
-9 + -4x = 0

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

Add '9' to each side of the equation.
-9 + 9 + -4x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -4x = 0 + 9
-4x = 0 + 9

Combine like terms: 0 + 9 = 9
-4x = 9

Divide each side by '-4'.
x = -2.25

Simplifying
x = -2.25

Subproblem 2
Set the factor '(9 + -8x)' equal to zero and attempt to solve:

Simplifying
9 + -8x = 0

Solving
9 + -8x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -8x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -8x = 0 + -9
-8x = 0 + -9

Combine like terms: 0 + -9 = -9
-8x = -9

Divide each side by '-8'.
x = 1.125

Simplifying
x = 1.125
Solution
x = {-2.25, 1.125}

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