(X+2)(x+3)=100

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Solution for (X+2)(x+3)=100 equation:


Simplifying
(X + 2)(x + 3) = 100

Reorder the terms:
(2 + X)(x + 3) = 100

Reorder the terms:
(2 + X)(3 + x) = 100

Multiply (2 + X) * (3 + x)
(2(3 + x) + X(3 + x)) = 100
((3 * 2 + x * 2) + X(3 + x)) = 100
((6 + 2x) + X(3 + x)) = 100
(6 + 2x + (3 * X + x * X)) = 100
(6 + 2x + (3X + xX)) = 100

Reorder the terms:
(6 + 3X + 2x + xX) = 100
(6 + 3X + 2x + xX) = 100

Solving
6 + 3X + 2x + xX = 100

Solving for variable 'X'.

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

Add '-6' to each side of the equation.
6 + 3X + 2x + -6 + xX = 100 + -6

Reorder the terms:
6 + -6 + 3X + 2x + xX = 100 + -6

Combine like terms: 6 + -6 = 0
0 + 3X + 2x + xX = 100 + -6
3X + 2x + xX = 100 + -6

Combine like terms: 100 + -6 = 94
3X + 2x + xX = 94

Add '-2x' to each side of the equation.
3X + 2x + -2x + xX = 94 + -2x

Combine like terms: 2x + -2x = 0
3X + 0 + xX = 94 + -2x
3X + xX = 94 + -2x

Reorder the terms:
-94 + 3X + 2x + xX = 94 + -2x + -94 + 2x

Reorder the terms:
-94 + 3X + 2x + xX = 94 + -94 + -2x + 2x

Combine like terms: 94 + -94 = 0
-94 + 3X + 2x + xX = 0 + -2x + 2x
-94 + 3X + 2x + xX = -2x + 2x

Combine like terms: -2x + 2x = 0
-94 + 3X + 2x + xX = 0

The solution to this equation could not be determined.

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