(X-4)(x-9)=14

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Solution for (X-4)(x-9)=14 equation:


Simplifying
(X + -4)(x + -9) = 14

Reorder the terms:
(-4 + X)(x + -9) = 14

Reorder the terms:
(-4 + X)(-9 + x) = 14

Multiply (-4 + X) * (-9 + x)
(-4(-9 + x) + X(-9 + x)) = 14
((-9 * -4 + x * -4) + X(-9 + x)) = 14
((36 + -4x) + X(-9 + x)) = 14
(36 + -4x + (-9 * X + x * X)) = 14
(36 + -4x + (-9X + xX)) = 14

Reorder the terms:
(36 + -9X + -4x + xX) = 14
(36 + -9X + -4x + xX) = 14

Solving
36 + -9X + -4x + xX = 14

Solving for variable 'X'.

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

Add '-36' to each side of the equation.
36 + -9X + -4x + -36 + xX = 14 + -36

Reorder the terms:
36 + -36 + -9X + -4x + xX = 14 + -36

Combine like terms: 36 + -36 = 0
0 + -9X + -4x + xX = 14 + -36
-9X + -4x + xX = 14 + -36

Combine like terms: 14 + -36 = -22
-9X + -4x + xX = -22

Add '4x' to each side of the equation.
-9X + -4x + 4x + xX = -22 + 4x

Combine like terms: -4x + 4x = 0
-9X + 0 + xX = -22 + 4x
-9X + xX = -22 + 4x

Reorder the terms:
22 + -9X + -4x + xX = -22 + 4x + 22 + -4x

Reorder the terms:
22 + -9X + -4x + xX = -22 + 22 + 4x + -4x

Combine like terms: -22 + 22 = 0
22 + -9X + -4x + xX = 0 + 4x + -4x
22 + -9X + -4x + xX = 4x + -4x

Combine like terms: 4x + -4x = 0
22 + -9X + -4x + xX = 0

The solution to this equation could not be determined.

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