(2x+1)(x+16)=180

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Solution for (2x+1)(x+16)=180 equation: 


Simplifying
(2x + 1)(x + 16) = 180

Reorder the terms:
(1 + 2x)(x + 16) = 180

Reorder the terms:
(1 + 2x)(16 + x) = 180

Multiply (1 + 2x) * (16 + x)
(1(16 + x) + 2x * (16 + x)) = 180
((16 * 1 + x * 1) + 2x * (16 + x)) = 180
((16 + 1x) + 2x * (16 + x)) = 180
(16 + 1x + (16 * 2x + x * 2x)) = 180
(16 + 1x + (32x + 2x2)) = 180

Combine like terms: 1x + 32x = 33x
(16 + 33x + 2x2) = 180

Solving
16 + 33x + 2x2 = 180

Solving for variable 'x'.

Reorder the terms:
16 + -180 + 33x + 2x2 = 180 + -180

Combine like terms: 16 + -180 = -164
-164 + 33x + 2x2 = 180 + -180

Combine like terms: 180 + -180 = 0
-164 + 33x + 2x2 = 0

Factor a trinomial.
(-41 + -2x)(4 + -1x) = 0


Subproblem 1
Set the factor '(-41 + -2x)' equal to zero and attempt to solve:

Simplifying
-41 + -2x = 0

Solving
-41 + -2x = 0

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

Add '41' to each side of the equation.
-41 + 41 + -2x = 0 + 41

Combine like terms: -41 + 41 = 0
0 + -2x = 0 + 41
-2x = 0 + 41

Combine like terms: 0 + 41 = 41
-2x = 41

Divide each side by '-2'.
x = -20.5

Simplifying
x = -20.5

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 = {-20.5, 4}

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