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

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

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

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

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

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

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

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

Solving for variable 'x'.

Reorder the terms:
-10 + -56 + -1x + 2x2 = 56 + -56

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

Combine like terms: 56 + -56 = 0
-66 + -1x + 2x2 = 0

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

Subproblem 1
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
Subproblem 2
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
Solution
x = {-5.5, 6}