(3+2+X)*(X-2)=

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Solution for (3+2+X)*(X-2)= equation: 


Simplifying
(3 + 2 + X)(X + -2) = 0

Combine like terms: 3 + 2 = 5
(5 + X)(X + -2) = 0

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

Multiply (5 + X) * (-2 + X)
(5(-2 + X) + X(-2 + X)) = 0
((-2 * 5 + X * 5) + X(-2 + X)) = 0
((-10 + 5X) + X(-2 + X)) = 0
(-10 + 5X + (-2 * X + X * X)) = 0
(-10 + 5X + (-2X + X2)) = 0

Combine like terms: 5X + -2X = 3X
(-10 + 3X + X2) = 0

Solving
-10 + 3X + X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(-5 + -1X)(2 + -1X) = 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 '(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 = {-5, 2}

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