(2X-5)*(X+8)=

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Solution for (2X-5)*(X+8)= equation: 


Simplifying
(2X + -5)(X + 8) = 0

Reorder the terms:
(-5 + 2X)(X + 8) = 0

Reorder the terms:
(-5 + 2X)(8 + X) = 0

Multiply (-5 + 2X) * (8 + X)
(-5(8 + X) + 2X * (8 + X)) = 0
((8 * -5 + X * -5) + 2X * (8 + X)) = 0
((-40 + -5X) + 2X * (8 + X)) = 0
(-40 + -5X + (8 * 2X + X * 2X)) = 0
(-40 + -5X + (16X + 2X2)) = 0

Combine like terms: -5X + 16X = 11X
(-40 + 11X + 2X2) = 0

Solving
-40 + 11X + 2X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(-8 + -1X)(5 + -2X) = 0


Subproblem 1
Set the factor '(-8 + -1X)' equal to zero and attempt to solve:

Simplifying
-8 + -1X = 0

Solving
-8 + -1X = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1X = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1X = 0 + 8
-1X = 0 + 8

Combine like terms: 0 + 8 = 8
-1X = 8

Divide each side by '-1'.
X = -8

Simplifying
X = -8

Subproblem 2
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
Solution
X = {-8, 2.5}

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