(X+5)(X-1)=40

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Solution for (X+5)(X-1)=40 equation: 


Simplifying
(X + 5)(X + -1) = 40

Reorder the terms:
(5 + X)(X + -1) = 40

Reorder the terms:
(5 + X)(-1 + X) = 40

Multiply (5 + X) * (-1 + X)
(5(-1 + X) + X(-1 + X)) = 40
((-1 * 5 + X * 5) + X(-1 + X)) = 40
((-5 + 5X) + X(-1 + X)) = 40
(-5 + 5X + (-1 * X + X * X)) = 40
(-5 + 5X + (-1X + X2)) = 40

Combine like terms: 5X + -1X = 4X
(-5 + 4X + X2) = 40

Solving
-5 + 4X + X2 = 40

Solving for variable 'X'.

Reorder the terms:
-5 + -40 + 4X + X2 = 40 + -40

Combine like terms: -5 + -40 = -45
-45 + 4X + X2 = 40 + -40

Combine like terms: 40 + -40 = 0
-45 + 4X + X2 = 0

Factor a trinomial.
(-9 + -1X)(5 + -1X) = 0


Subproblem 1
Set the factor '(-9 + -1X)' equal to zero and attempt to solve:

Simplifying
-9 + -1X = 0

Solving
-9 + -1X = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1X = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1X = 0 + 9
-1X = 0 + 9

Combine like terms: 0 + 9 = 9
-1X = 9

Divide each side by '-1'.
X = -9

Simplifying
X = -9

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 = {-9, 5}

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