(X-8)(X+1)=-18

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Solution for (X-8)(X+1)=-18 equation: 


Simplifying
(X + -8)(X + 1) = -18

Reorder the terms:
(-8 + X)(X + 1) = -18

Reorder the terms:
(-8 + X)(1 + X) = -18

Multiply (-8 + X) * (1 + X)
(-8(1 + X) + X(1 + X)) = -18
((1 * -8 + X * -8) + X(1 + X)) = -18
((-8 + -8X) + X(1 + X)) = -18
(-8 + -8X + (1 * X + X * X)) = -18
(-8 + -8X + (1X + X2)) = -18

Combine like terms: -8X + 1X = -7X
(-8 + -7X + X2) = -18

Solving
-8 + -7X + X2 = -18

Solving for variable 'X'.

Reorder the terms:
-8 + 18 + -7X + X2 = -18 + 18

Combine like terms: -8 + 18 = 10
10 + -7X + X2 = -18 + 18

Combine like terms: -18 + 18 = 0
10 + -7X + X2 = 0

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


Subproblem 1
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

Subproblem 2
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
Solution
X = {2, 5}

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