(X+8)(X-2)=

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


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

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

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

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

Combine like terms: 8X + -2X = 6X
(-16 + 6X + X2) = 0

Solving
-16 + 6X + X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(-8 + -1X)(2 + -1X) = 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 '(2 + -1X)' equal to zero and attempt to solve:

Simplifying
2 + -1X = 0

Solving
2 + -1X = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1X = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1X = 0 + -2
-1X = 0 + -2

Combine like terms: 0 + -2 = -2
-1X = -2

Divide each side by '-1'.
X = 2

Simplifying
X = 2
Solution
X = {-8, 2}

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