(X-2)(x+4)+9=0

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Solution for (X-2)(x+4)+9=0 equation:


Simplifying
(X + -2)(x + 4) + 9 = 0

Reorder the terms:
(-2 + X)(x + 4) + 9 = 0

Reorder the terms:
(-2 + X)(4 + x) + 9 = 0

Multiply (-2 + X) * (4 + x)
(-2(4 + x) + X(4 + x)) + 9 = 0
((4 * -2 + x * -2) + X(4 + x)) + 9 = 0
((-8 + -2x) + X(4 + x)) + 9 = 0
(-8 + -2x + (4 * X + x * X)) + 9 = 0
(-8 + -2x + (4X + xX)) + 9 = 0

Reorder the terms:
(-8 + 4X + -2x + xX) + 9 = 0
(-8 + 4X + -2x + xX) + 9 = 0

Reorder the terms:
-8 + 9 + 4X + -2x + xX = 0

Combine like terms: -8 + 9 = 1
1 + 4X + -2x + xX = 0

Solving
1 + 4X + -2x + xX = 0

Solving for variable 'X'.

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

Add '-1' to each side of the equation.
1 + 4X + -2x + -1 + xX = 0 + -1

Reorder the terms:
1 + -1 + 4X + -2x + xX = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4X + -2x + xX = 0 + -1
4X + -2x + xX = 0 + -1

Combine like terms: 0 + -1 = -1
4X + -2x + xX = -1

Add '2x' to each side of the equation.
4X + -2x + 2x + xX = -1 + 2x

Combine like terms: -2x + 2x = 0
4X + 0 + xX = -1 + 2x
4X + xX = -1 + 2x

Reorder the terms:
1 + 4X + -2x + xX = -1 + 2x + 1 + -2x

Reorder the terms:
1 + 4X + -2x + xX = -1 + 1 + 2x + -2x

Combine like terms: -1 + 1 = 0
1 + 4X + -2x + xX = 0 + 2x + -2x
1 + 4X + -2x + xX = 2x + -2x

Combine like terms: 2x + -2x = 0
1 + 4X + -2x + xX = 0

The solution to this equation could not be determined.

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