(X+5)(x+5)+27=-7x

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Solution for (X+5)(x+5)+27=-7x equation:


Simplifying
(X + 5)(x + 5) + 27 = -7x

Reorder the terms:
(5 + X)(x + 5) + 27 = -7x

Reorder the terms:
(5 + X)(5 + x) + 27 = -7x

Multiply (5 + X) * (5 + x)
(5(5 + x) + X(5 + x)) + 27 = -7x
((5 * 5 + x * 5) + X(5 + x)) + 27 = -7x
((25 + 5x) + X(5 + x)) + 27 = -7x
(25 + 5x + (5 * X + x * X)) + 27 = -7x
(25 + 5x + (5X + xX)) + 27 = -7x

Reorder the terms:
(25 + 5X + 5x + xX) + 27 = -7x
(25 + 5X + 5x + xX) + 27 = -7x

Reorder the terms:
25 + 27 + 5X + 5x + xX = -7x

Combine like terms: 25 + 27 = 52
52 + 5X + 5x + xX = -7x

Solving
52 + 5X + 5x + xX = -7x

Solving for variable 'X'.

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

Add '-52' to each side of the equation.
52 + 5X + 5x + -52 + xX = -52 + -7x

Reorder the terms:
52 + -52 + 5X + 5x + xX = -52 + -7x

Combine like terms: 52 + -52 = 0
0 + 5X + 5x + xX = -52 + -7x
5X + 5x + xX = -52 + -7x

Add '-5x' to each side of the equation.
5X + 5x + -5x + xX = -52 + -7x + -5x

Combine like terms: 5x + -5x = 0
5X + 0 + xX = -52 + -7x + -5x
5X + xX = -52 + -7x + -5x

Combine like terms: -7x + -5x = -12x
5X + xX = -52 + -12x

Reorder the terms:
52 + 5X + 12x + xX = -52 + -12x + 52 + 12x

Reorder the terms:
52 + 5X + 12x + xX = -52 + 52 + -12x + 12x

Combine like terms: -52 + 52 = 0
52 + 5X + 12x + xX = 0 + -12x + 12x
52 + 5X + 12x + xX = -12x + 12x

Combine like terms: -12x + 12x = 0
52 + 5X + 12x + xX = 0

The solution to this equation could not be determined.

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