56=(x+2)(2x-5)

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Solution for 56=(x+2)(2x-5) equation: 


Simplifying
56 = (x + 2)(2x + -5)

Reorder the terms:
56 = (2 + x)(2x + -5)

Reorder the terms:
56 = (2 + x)(-5 + 2x)

Multiply (2 + x) * (-5 + 2x)
56 = (2(-5 + 2x) + x(-5 + 2x))
56 = ((-5 * 2 + 2x * 2) + x(-5 + 2x))
56 = ((-10 + 4x) + x(-5 + 2x))
56 = (-10 + 4x + (-5 * x + 2x * x))
56 = (-10 + 4x + (-5x + 2x2))

Combine like terms: 4x + -5x = -1x
56 = (-10 + -1x + 2x2)

Solving
56 = -10 + -1x + 2x2

Solving for variable 'x'.

Combine like terms: 56 + 10 = 66
66 + x + -2x2 = -10 + -1x + 2x2 + 10 + x + -2x2

Reorder the terms:
66 + x + -2x2 = -10 + 10 + -1x + x + 2x2 + -2x2

Combine like terms: -10 + 10 = 0
66 + x + -2x2 = 0 + -1x + x + 2x2 + -2x2
66 + x + -2x2 = -1x + x + 2x2 + -2x2

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

Combine like terms: 2x2 + -2x2 = 0
66 + x + -2x2 = 0

Factor a trinomial.
(6 + -1x)(11 + 2x) = 0


Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

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 = {6, -5.5}

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