X(x-45)+x(x-45)+(x-45)=540

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Solution for X(x-45)+x(x-45)+(x-45)=540 equation: 


Simplifying
X(x + -45) + x(x + -45) + (x + -45) = 540

Reorder the terms:
X(-45 + x) + x(x + -45) + (x + -45) = 540
(-45 * X + x * X) + x(x + -45) + (x + -45) = 540
(-45X + xX) + x(x + -45) + (x + -45) = 540

Reorder the terms:
-45X + xX + x(-45 + x) + (x + -45) = 540
-45X + xX + (-45 * x + x * x) + (x + -45) = 540
-45X + xX + (-45x + x2) + (x + -45) = 540

Reorder the terms:
-45X + xX + -45x + x2 + (-45 + x) = 540

Remove parenthesis around (-45 + x)
-45X + xX + -45x + x2 + -45 + x = 540

Reorder the terms:
-45 + -45X + -45x + x + xX + x2 = 540

Combine like terms: -45x + x = -44x
-45 + -45X + -44x + xX + x2 = 540

Solving
-45 + -45X + -44x + xX + x2 = 540

Solving for variable 'X'.

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

Add '45' to each side of the equation.
-45 + -45X + -44x + xX + 45 + x2 = 540 + 45

Reorder the terms:
-45 + 45 + -45X + -44x + xX + x2 = 540 + 45

Combine like terms: -45 + 45 = 0
0 + -45X + -44x + xX + x2 = 540 + 45
-45X + -44x + xX + x2 = 540 + 45

Combine like terms: 540 + 45 = 585
-45X + -44x + xX + x2 = 585

Add '44x' to each side of the equation.
-45X + -44x + xX + 44x + x2 = 585 + 44x

Reorder the terms:
-45X + -44x + 44x + xX + x2 = 585 + 44x

Combine like terms: -44x + 44x = 0
-45X + 0 + xX + x2 = 585 + 44x
-45X + xX + x2 = 585 + 44x

Add '-1x2' to each side of the equation.
-45X + xX + x2 + -1x2 = 585 + 44x + -1x2

Combine like terms: x2 + -1x2 = 0
-45X + xX + 0 = 585 + 44x + -1x2
-45X + xX = 585 + 44x + -1x2

Reorder the terms:
-585 + -45X + -44x + xX + x2 = 585 + 44x + -1x2 + -585 + -44x + x2

Reorder the terms:
-585 + -45X + -44x + xX + x2 = 585 + -585 + 44x + -44x + -1x2 + x2

Combine like terms: 585 + -585 = 0
-585 + -45X + -44x + xX + x2 = 0 + 44x + -44x + -1x2 + x2
-585 + -45X + -44x + xX + x2 = 44x + -44x + -1x2 + x2

Combine like terms: 44x + -44x = 0
-585 + -45X + -44x + xX + x2 = 0 + -1x2 + x2
-585 + -45X + -44x + xX + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-585 + -45X + -44x + xX + x2 = 0

The solution to this equation could not be determined.

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