(X-2)(x+5)=(-1)

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Solution for (X-2)(x+5)=(-1) equation:


Simplifying
(X + -2)(x + 5) = (-1)

Reorder the terms:
(-2 + X)(x + 5) = (-1)

Reorder the terms:
(-2 + X)(5 + x) = (-1)

Multiply (-2 + X) * (5 + x)
(-2(5 + x) + X(5 + x)) = (-1)
((5 * -2 + x * -2) + X(5 + x)) = (-1)
((-10 + -2x) + X(5 + x)) = (-1)
(-10 + -2x + (5 * X + x * X)) = (-1)
(-10 + -2x + (5X + xX)) = (-1)

Reorder the terms:
(-10 + 5X + -2x + xX) = (-1)
(-10 + 5X + -2x + xX) = (-1)
-10 + 5X + -2x + xX = -1

Solving
-10 + 5X + -2x + xX = -1

Solving for variable 'X'.

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

Add '10' to each side of the equation.
-10 + 5X + -2x + 10 + xX = -1 + 10

Reorder the terms:
-10 + 10 + 5X + -2x + xX = -1 + 10

Combine like terms: -10 + 10 = 0
0 + 5X + -2x + xX = -1 + 10
5X + -2x + xX = -1 + 10

Combine like terms: -1 + 10 = 9
5X + -2x + xX = 9

Add '2x' to each side of the equation.
5X + -2x + 2x + xX = 9 + 2x

Combine like terms: -2x + 2x = 0
5X + 0 + xX = 9 + 2x
5X + xX = 9 + 2x

Reorder the terms:
-9 + 5X + -2x + xX = 9 + 2x + -9 + -2x

Reorder the terms:
-9 + 5X + -2x + xX = 9 + -9 + 2x + -2x

Combine like terms: 9 + -9 = 0
-9 + 5X + -2x + xX = 0 + 2x + -2x
-9 + 5X + -2x + xX = 2x + -2x

Combine like terms: 2x + -2x = 0
-9 + 5X + -2x + xX = 0

The solution to this equation could not be determined.

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