(X+5)(x-4)-x^2=-17

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Solution for (X+5)(x-4)-x^2=-17 equation: 


Simplifying
(X + 5)(x + -4) + -1x2 = -17

Reorder the terms:
(5 + X)(x + -4) + -1x2 = -17

Reorder the terms:
(5 + X)(-4 + x) + -1x2 = -17

Multiply (5 + X) * (-4 + x)
(5(-4 + x) + X(-4 + x)) + -1x2 = -17
((-4 * 5 + x * 5) + X(-4 + x)) + -1x2 = -17
((-20 + 5x) + X(-4 + x)) + -1x2 = -17
(-20 + 5x + (-4 * X + x * X)) + -1x2 = -17
(-20 + 5x + (-4X + xX)) + -1x2 = -17

Reorder the terms:
(-20 + -4X + 5x + xX) + -1x2 = -17
(-20 + -4X + 5x + xX) + -1x2 = -17

Solving
-20 + -4X + 5x + xX + -1x2 = -17

Solving for variable 'X'.

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

Add '20' to each side of the equation.
-20 + -4X + 5x + xX + 20 + -1x2 = -17 + 20

Reorder the terms:
-20 + 20 + -4X + 5x + xX + -1x2 = -17 + 20

Combine like terms: -20 + 20 = 0
0 + -4X + 5x + xX + -1x2 = -17 + 20
-4X + 5x + xX + -1x2 = -17 + 20

Combine like terms: -17 + 20 = 3
-4X + 5x + xX + -1x2 = 3

Add '-5x' to each side of the equation.
-4X + 5x + xX + -5x + -1x2 = 3 + -5x

Reorder the terms:
-4X + 5x + -5x + xX + -1x2 = 3 + -5x

Combine like terms: 5x + -5x = 0
-4X + 0 + xX + -1x2 = 3 + -5x
-4X + xX + -1x2 = 3 + -5x

Add 'x2' to each side of the equation.
-4X + xX + -1x2 + x2 = 3 + -5x + x2

Combine like terms: -1x2 + x2 = 0
-4X + xX + 0 = 3 + -5x + x2
-4X + xX = 3 + -5x + x2

Reorder the terms:
-3 + -4X + 5x + xX + -1x2 = 3 + -5x + x2 + -3 + 5x + -1x2

Reorder the terms:
-3 + -4X + 5x + xX + -1x2 = 3 + -3 + -5x + 5x + x2 + -1x2

Combine like terms: 3 + -3 = 0
-3 + -4X + 5x + xX + -1x2 = 0 + -5x + 5x + x2 + -1x2
-3 + -4X + 5x + xX + -1x2 = -5x + 5x + x2 + -1x2

Combine like terms: -5x + 5x = 0
-3 + -4X + 5x + xX + -1x2 = 0 + x2 + -1x2
-3 + -4X + 5x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-3 + -4X + 5x + xX + -1x2 = 0

The solution to this equation could not be determined.

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