36=(4x+3)(2x+1)

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Solution for 36=(4x+3)(2x+1) equation: 


Simplifying
36 = (4x + 3)(2x + 1)

Reorder the terms:
36 = (3 + 4x)(2x + 1)

Reorder the terms:
36 = (3 + 4x)(1 + 2x)

Multiply (3 + 4x) * (1 + 2x)
36 = (3(1 + 2x) + 4x * (1 + 2x))
36 = ((1 * 3 + 2x * 3) + 4x * (1 + 2x))
36 = ((3 + 6x) + 4x * (1 + 2x))
36 = (3 + 6x + (1 * 4x + 2x * 4x))
36 = (3 + 6x + (4x + 8x2))

Combine like terms: 6x + 4x = 10x
36 = (3 + 10x + 8x2)

Solving
36 = 3 + 10x + 8x2

Solving for variable 'x'.

Combine like terms: 36 + -3 = 33
33 + -10x + -8x2 = 3 + 10x + 8x2 + -3 + -10x + -8x2

Reorder the terms:
33 + -10x + -8x2 = 3 + -3 + 10x + -10x + 8x2 + -8x2

Combine like terms: 3 + -3 = 0
33 + -10x + -8x2 = 0 + 10x + -10x + 8x2 + -8x2
33 + -10x + -8x2 = 10x + -10x + 8x2 + -8x2

Combine like terms: 10x + -10x = 0
33 + -10x + -8x2 = 0 + 8x2 + -8x2
33 + -10x + -8x2 = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
33 + -10x + -8x2 = 0

Factor a trinomial.
(3 + -2x)(11 + 4x) = 0


Subproblem 1
Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 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 + -2x = 0 + -3

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

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

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5

Subproblem 2
Set the factor '(11 + 4x)' equal to zero and attempt to solve:

Simplifying
11 + 4x = 0

Solving
11 + 4x = 0

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

Add '-11' to each side of the equation.
11 + -11 + 4x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 4x = 0 + -11
4x = 0 + -11

Combine like terms: 0 + -11 = -11
4x = -11

Divide each side by '4'.
x = -2.75

Simplifying
x = -2.75
Solution
x = {1.5, -2.75}

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