(X-4)(x+5)=22

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Solution for (X-4)(x+5)=22 equation:


Simplifying
(X + -4)(x + 5) = 22

Reorder the terms:
(-4 + X)(x + 5) = 22

Reorder the terms:
(-4 + X)(5 + x) = 22

Multiply (-4 + X) * (5 + x)
(-4(5 + x) + X(5 + x)) = 22
((5 * -4 + x * -4) + X(5 + x)) = 22
((-20 + -4x) + X(5 + x)) = 22
(-20 + -4x + (5 * X + x * X)) = 22
(-20 + -4x + (5X + xX)) = 22

Reorder the terms:
(-20 + 5X + -4x + xX) = 22
(-20 + 5X + -4x + xX) = 22

Solving
-20 + 5X + -4x + xX = 22

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 + 5X + -4x + 20 + xX = 22 + 20

Reorder the terms:
-20 + 20 + 5X + -4x + xX = 22 + 20

Combine like terms: -20 + 20 = 0
0 + 5X + -4x + xX = 22 + 20
5X + -4x + xX = 22 + 20

Combine like terms: 22 + 20 = 42
5X + -4x + xX = 42

Add '4x' to each side of the equation.
5X + -4x + 4x + xX = 42 + 4x

Combine like terms: -4x + 4x = 0
5X + 0 + xX = 42 + 4x
5X + xX = 42 + 4x

Reorder the terms:
-42 + 5X + -4x + xX = 42 + 4x + -42 + -4x

Reorder the terms:
-42 + 5X + -4x + xX = 42 + -42 + 4x + -4x

Combine like terms: 42 + -42 = 0
-42 + 5X + -4x + xX = 0 + 4x + -4x
-42 + 5X + -4x + xX = 4x + -4x

Combine like terms: 4x + -4x = 0
-42 + 5X + -4x + xX = 0

The solution to this equation could not be determined.

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