(X+3)(x+5)=x^2+22+4x+25

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Solution for (X+3)(x+5)=x^2+22+4x+25 equation: 


Simplifying
(X + 3)(x + 5) = x2 + 22 + 4x + 25

Reorder the terms:
(3 + X)(x + 5) = x2 + 22 + 4x + 25

Reorder the terms:
(3 + X)(5 + x) = x2 + 22 + 4x + 25

Multiply (3 + X) * (5 + x)
(3(5 + x) + X(5 + x)) = x2 + 22 + 4x + 25
((5 * 3 + x * 3) + X(5 + x)) = x2 + 22 + 4x + 25
((15 + 3x) + X(5 + x)) = x2 + 22 + 4x + 25
(15 + 3x + (5 * X + x * X)) = x2 + 22 + 4x + 25
(15 + 3x + (5X + xX)) = x2 + 22 + 4x + 25

Reorder the terms:
(15 + 5X + 3x + xX) = x2 + 22 + 4x + 25
(15 + 5X + 3x + xX) = x2 + 22 + 4x + 25

Reorder the terms:
15 + 5X + 3x + xX = 22 + 25 + 4x + x2

Combine like terms: 22 + 25 = 47
15 + 5X + 3x + xX = 47 + 4x + x2

Solving
15 + 5X + 3x + xX = 47 + 4x + x2

Solving for variable 'X'.

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

Add '-15' to each side of the equation.
15 + 5X + 3x + -15 + xX = 47 + 4x + -15 + x2

Reorder the terms:
15 + -15 + 5X + 3x + xX = 47 + 4x + -15 + x2

Combine like terms: 15 + -15 = 0
0 + 5X + 3x + xX = 47 + 4x + -15 + x2
5X + 3x + xX = 47 + 4x + -15 + x2

Reorder the terms:
5X + 3x + xX = 47 + -15 + 4x + x2

Combine like terms: 47 + -15 = 32
5X + 3x + xX = 32 + 4x + x2

Add '-3x' to each side of the equation.
5X + 3x + -3x + xX = 32 + 4x + -3x + x2

Combine like terms: 3x + -3x = 0
5X + 0 + xX = 32 + 4x + -3x + x2
5X + xX = 32 + 4x + -3x + x2

Combine like terms: 4x + -3x = 1x
5X + xX = 32 + 1x + x2

Reorder the terms:
-32 + 5X + -1x + xX + -1x2 = 32 + 1x + x2 + -32 + -1x + -1x2

Reorder the terms:
-32 + 5X + -1x + xX + -1x2 = 32 + -32 + 1x + -1x + x2 + -1x2

Combine like terms: 32 + -32 = 0
-32 + 5X + -1x + xX + -1x2 = 0 + 1x + -1x + x2 + -1x2
-32 + 5X + -1x + xX + -1x2 = 1x + -1x + x2 + -1x2

Combine like terms: 1x + -1x = 0
-32 + 5X + -1x + xX + -1x2 = 0 + x2 + -1x2
-32 + 5X + -1x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-32 + 5X + -1x + xX + -1x2 = 0

The solution to this equation could not be determined.

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