x(X-6)-(X-2)(X-5)=5

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Solution for x(X-6)-(X-2)(X-5)=5 equation:


Simplifying
x(X + -6) + -1(X + -2)(X + -5) = 5

Reorder the terms:
x(-6 + X) + -1(X + -2)(X + -5) = 5
(-6 * x + X * x) + -1(X + -2)(X + -5) = 5
(-6x + xX) + -1(X + -2)(X + -5) = 5

Reorder the terms:
-6x + xX + -1(-2 + X)(X + -5) = 5

Reorder the terms:
-6x + xX + -1(-2 + X)(-5 + X) = 5

Multiply (-2 + X) * (-5 + X)
-6x + xX + -1(-2(-5 + X) + X(-5 + X)) = 5
-6x + xX + -1((-5 * -2 + X * -2) + X(-5 + X)) = 5
-6x + xX + -1((10 + -2X) + X(-5 + X)) = 5
-6x + xX + -1(10 + -2X + (-5 * X + X * X)) = 5
-6x + xX + -1(10 + -2X + (-5X + X2)) = 5

Combine like terms: -2X + -5X = -7X
-6x + xX + -1(10 + -7X + X2) = 5
-6x + xX + (10 * -1 + -7X * -1 + X2 * -1) = 5
-6x + xX + (-10 + 7X + -1X2) = 5

Reorder the terms:
-10 + 7X + -1X2 + -6x + xX = 5

Solving
-10 + 7X + -1X2 + -6x + xX = 5

Solving for variable 'X'.

Reorder the terms:
-10 + -5 + 7X + -1X2 + -6x + xX = 5 + -5

Combine like terms: -10 + -5 = -15
-15 + 7X + -1X2 + -6x + xX = 5 + -5

Combine like terms: 5 + -5 = 0
-15 + 7X + -1X2 + -6x + xX = 0

The solution to this equation could not be determined.

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