(X+3)(x+6)=31

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Solution for (X+3)(x+6)=31 equation:


Simplifying
(X + 3)(x + 6) = 31

Reorder the terms:
(3 + X)(x + 6) = 31

Reorder the terms:
(3 + X)(6 + x) = 31

Multiply (3 + X) * (6 + x)
(3(6 + x) + X(6 + x)) = 31
((6 * 3 + x * 3) + X(6 + x)) = 31
((18 + 3x) + X(6 + x)) = 31
(18 + 3x + (6 * X + x * X)) = 31
(18 + 3x + (6X + xX)) = 31

Reorder the terms:
(18 + 6X + 3x + xX) = 31
(18 + 6X + 3x + xX) = 31

Solving
18 + 6X + 3x + xX = 31

Solving for variable 'X'.

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

Add '-18' to each side of the equation.
18 + 6X + 3x + -18 + xX = 31 + -18

Reorder the terms:
18 + -18 + 6X + 3x + xX = 31 + -18

Combine like terms: 18 + -18 = 0
0 + 6X + 3x + xX = 31 + -18
6X + 3x + xX = 31 + -18

Combine like terms: 31 + -18 = 13
6X + 3x + xX = 13

Add '-3x' to each side of the equation.
6X + 3x + -3x + xX = 13 + -3x

Combine like terms: 3x + -3x = 0
6X + 0 + xX = 13 + -3x
6X + xX = 13 + -3x

Reorder the terms:
-13 + 6X + 3x + xX = 13 + -3x + -13 + 3x

Reorder the terms:
-13 + 6X + 3x + xX = 13 + -13 + -3x + 3x

Combine like terms: 13 + -13 = 0
-13 + 6X + 3x + xX = 0 + -3x + 3x
-13 + 6X + 3x + xX = -3x + 3x

Combine like terms: -3x + 3x = 0
-13 + 6X + 3x + xX = 0

The solution to this equation could not be determined.

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