20=(2x+3)x

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Solution for 20=(2x+3)x equation: 


Simplifying
20 = (2x + 3) * x

Reorder the terms:
20 = (3 + 2x) * x

Reorder the terms for easier multiplication:
20 = x(3 + 2x)
20 = (3 * x + 2x * x)
20 = (3x + 2x2)

Solving
20 = 3x + 2x2

Solving for variable 'x'.

Reorder the terms:
20 + -3x + -2x2 = 3x + -3x + 2x2 + -2x2

Combine like terms: 3x + -3x = 0
20 + -3x + -2x2 = 0 + 2x2 + -2x2
20 + -3x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
20 + -3x + -2x2 = 0

Factor a trinomial.
(5 + -2x)(4 + x) = 0


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

Simplifying
5 + -2x = 0

Solving
5 + -2x = 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 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5

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

Simplifying
4 + x = 0

Solving
4 + x = 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 + x = 0 + -4

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

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

Simplifying
x = -4
Solution
x = {2.5, -4}

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