(X-4)(x+6)=-9

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Solution for (X-4)(x+6)=-9 equation:


Simplifying
(X + -4)(x + 6) = -9

Reorder the terms:
(-4 + X)(x + 6) = -9

Reorder the terms:
(-4 + X)(6 + x) = -9

Multiply (-4 + X) * (6 + x)
(-4(6 + x) + X(6 + x)) = -9
((6 * -4 + x * -4) + X(6 + x)) = -9
((-24 + -4x) + X(6 + x)) = -9
(-24 + -4x + (6 * X + x * X)) = -9
(-24 + -4x + (6X + xX)) = -9

Reorder the terms:
(-24 + 6X + -4x + xX) = -9
(-24 + 6X + -4x + xX) = -9

Solving
-24 + 6X + -4x + xX = -9

Solving for variable 'X'.

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

Add '24' to each side of the equation.
-24 + 6X + -4x + 24 + xX = -9 + 24

Reorder the terms:
-24 + 24 + 6X + -4x + xX = -9 + 24

Combine like terms: -24 + 24 = 0
0 + 6X + -4x + xX = -9 + 24
6X + -4x + xX = -9 + 24

Combine like terms: -9 + 24 = 15
6X + -4x + xX = 15

Add '4x' to each side of the equation.
6X + -4x + 4x + xX = 15 + 4x

Combine like terms: -4x + 4x = 0
6X + 0 + xX = 15 + 4x
6X + xX = 15 + 4x

Reorder the terms:
-15 + 6X + -4x + xX = 15 + 4x + -15 + -4x

Reorder the terms:
-15 + 6X + -4x + xX = 15 + -15 + 4x + -4x

Combine like terms: 15 + -15 = 0
-15 + 6X + -4x + xX = 0 + 4x + -4x
-15 + 6X + -4x + xX = 4x + -4x

Combine like terms: 4x + -4x = 0
-15 + 6X + -4x + xX = 0

The solution to this equation could not be determined.

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