(X+5)*(x+5)-25=x*x

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Solution for (X+5)*(x+5)-25=x*x equation:


Simplifying
(X + 5)(x + 5) + -25 = x * x

Reorder the terms:
(5 + X)(x + 5) + -25 = x * x

Reorder the terms:
(5 + X)(5 + x) + -25 = x * x

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

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

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

Combine like terms: 25 + -25 = 0
0 + 5X + 5x + xX = x * x
5X + 5x + xX = x * x

Multiply x * x
5X + 5x + xX = x2

Solving
5X + 5x + xX = x2

Solving for variable 'X'.

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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