(X-5)(x+8)=-20

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Solution for (X-5)(x+8)=-20 equation:


Simplifying
(X + -5)(x + 8) = -20

Reorder the terms:
(-5 + X)(x + 8) = -20

Reorder the terms:
(-5 + X)(8 + x) = -20

Multiply (-5 + X) * (8 + x)
(-5(8 + x) + X(8 + x)) = -20
((8 * -5 + x * -5) + X(8 + x)) = -20
((-40 + -5x) + X(8 + x)) = -20
(-40 + -5x + (8 * X + x * X)) = -20
(-40 + -5x + (8X + xX)) = -20

Reorder the terms:
(-40 + 8X + -5x + xX) = -20
(-40 + 8X + -5x + xX) = -20

Solving
-40 + 8X + -5x + xX = -20

Solving for variable 'X'.

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

Add '40' to each side of the equation.
-40 + 8X + -5x + 40 + xX = -20 + 40

Reorder the terms:
-40 + 40 + 8X + -5x + xX = -20 + 40

Combine like terms: -40 + 40 = 0
0 + 8X + -5x + xX = -20 + 40
8X + -5x + xX = -20 + 40

Combine like terms: -20 + 40 = 20
8X + -5x + xX = 20

Add '5x' to each side of the equation.
8X + -5x + 5x + xX = 20 + 5x

Combine like terms: -5x + 5x = 0
8X + 0 + xX = 20 + 5x
8X + xX = 20 + 5x

Reorder the terms:
-20 + 8X + -5x + xX = 20 + 5x + -20 + -5x

Reorder the terms:
-20 + 8X + -5x + xX = 20 + -20 + 5x + -5x

Combine like terms: 20 + -20 = 0
-20 + 8X + -5x + xX = 0 + 5x + -5x
-20 + 8X + -5x + xX = 5x + -5x

Combine like terms: 5x + -5x = 0
-20 + 8X + -5x + xX = 0

The solution to this equation could not be determined.

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