X(x-6)+11=x(x+5)

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Solution for X(x-6)+11=x(x+5) equation:


Simplifying
X(x + -6) + 11 = x(x + 5)

Reorder the terms:
X(-6 + x) + 11 = x(x + 5)
(-6 * X + x * X) + 11 = x(x + 5)
(-6X + xX) + 11 = x(x + 5)

Reorder the terms:
11 + -6X + xX = x(x + 5)

Reorder the terms:
11 + -6X + xX = x(5 + x)
11 + -6X + xX = (5 * x + x * x)
11 + -6X + xX = (5x + x2)

Solving
11 + -6X + xX = 5x + x2

Solving for variable 'X'.

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

Add '-11' to each side of the equation.
11 + -6X + -11 + xX = 5x + -11 + x2

Reorder the terms:
11 + -11 + -6X + xX = 5x + -11 + x2

Combine like terms: 11 + -11 = 0
0 + -6X + xX = 5x + -11 + x2
-6X + xX = 5x + -11 + x2

Reorder the terms:
-6X + xX = -11 + 5x + x2

Reorder the terms:
11 + -6X + -5x + xX + -1x2 = -11 + 5x + x2 + 11 + -5x + -1x2

Reorder the terms:
11 + -6X + -5x + xX + -1x2 = -11 + 11 + 5x + -5x + x2 + -1x2

Combine like terms: -11 + 11 = 0
11 + -6X + -5x + xX + -1x2 = 0 + 5x + -5x + x2 + -1x2
11 + -6X + -5x + xX + -1x2 = 5x + -5x + x2 + -1x2

Combine like terms: 5x + -5x = 0
11 + -6X + -5x + xX + -1x2 = 0 + x2 + -1x2
11 + -6X + -5x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
11 + -6X + -5x + xX + -1x2 = 0

The solution to this equation could not be determined.

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