20*2=(x+3)(2x-5)

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Solution for 20*2=(x+3)(2x-5) equation: 


Simplifying
20 * 2 = (x + 3)(2x + -5)

Multiply 20 * 2
40 = (x + 3)(2x + -5)

Reorder the terms:
40 = (3 + x)(2x + -5)

Reorder the terms:
40 = (3 + x)(-5 + 2x)

Multiply (3 + x) * (-5 + 2x)
40 = (3(-5 + 2x) + x(-5 + 2x))
40 = ((-5 * 3 + 2x * 3) + x(-5 + 2x))
40 = ((-15 + 6x) + x(-5 + 2x))
40 = (-15 + 6x + (-5 * x + 2x * x))
40 = (-15 + 6x + (-5x + 2x2))

Combine like terms: 6x + -5x = 1x
40 = (-15 + 1x + 2x2)

Solving
40 = -15 + 1x + 2x2

Solving for variable 'x'.

Combine like terms: 40 + 15 = 55
55 + -1x + -2x2 = -15 + 1x + 2x2 + 15 + -1x + -2x2

Reorder the terms:
55 + -1x + -2x2 = -15 + 15 + 1x + -1x + 2x2 + -2x2

Combine like terms: -15 + 15 = 0
55 + -1x + -2x2 = 0 + 1x + -1x + 2x2 + -2x2
55 + -1x + -2x2 = 1x + -1x + 2x2 + -2x2

Combine like terms: 1x + -1x = 0
55 + -1x + -2x2 = 0 + 2x2 + -2x2
55 + -1x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
55 + -1x + -2x2 = 0

Factor a trinomial.
(5 + -1x)(11 + 2x) = 0


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

Simplifying
5 + -1x = 0

Solving
5 + -1x = 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 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

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

Simplifying
11 + 2x = 0

Solving
11 + 2x = 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 + 2x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 2x = 0 + -11
2x = 0 + -11

Combine like terms: 0 + -11 = -11
2x = -11

Divide each side by '2'.
x = -5.5

Simplifying
x = -5.5
Solution
x = {5, -5.5}

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