28=(x+1)(2x+1)

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Solution for 28=(x+1)(2x+1) equation: 


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

Reorder the terms:
28 = (1 + x)(2x + 1)

Reorder the terms:
28 = (1 + x)(1 + 2x)

Multiply (1 + x) * (1 + 2x)
28 = (1(1 + 2x) + x(1 + 2x))
28 = ((1 * 1 + 2x * 1) + x(1 + 2x))
28 = ((1 + 2x) + x(1 + 2x))
28 = (1 + 2x + (1 * x + 2x * x))
28 = (1 + 2x + (1x + 2x2))

Combine like terms: 2x + 1x = 3x
28 = (1 + 3x + 2x2)

Solving
28 = 1 + 3x + 2x2

Solving for variable 'x'.

Combine like terms: 28 + -1 = 27
27 + -3x + -2x2 = 1 + 3x + 2x2 + -1 + -3x + -2x2

Reorder the terms:
27 + -3x + -2x2 = 1 + -1 + 3x + -3x + 2x2 + -2x2

Combine like terms: 1 + -1 = 0
27 + -3x + -2x2 = 0 + 3x + -3x + 2x2 + -2x2
27 + -3x + -2x2 = 3x + -3x + 2x2 + -2x2

Combine like terms: 3x + -3x = 0
27 + -3x + -2x2 = 0 + 2x2 + -2x2
27 + -3x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
27 + -3x + -2x2 = 0

Factor a trinomial.
(3 + -1x)(9 + 2x) = 0


Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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

Simplifying
9 + 2x = 0

Solving
9 + 2x = 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 + 2x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 2x = 0 + -9
2x = 0 + -9

Combine like terms: 0 + -9 = -9
2x = -9

Divide each side by '2'.
x = -4.5

Simplifying
x = -4.5
Solution
x = {3, -4.5}

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