1x(x-1)=1x-36

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Solution for 1x(x-1)=1x-36 equation:


Simplifying
1x(x + -1) = 1x + -36

Reorder the terms:
1x(-1 + x) = 1x + -36
(-1 * 1x + x * 1x) = 1x + -36
(-1x + 1x2) = 1x + -36

Reorder the terms:
-1x + 1x2 = -36 + 1x

Solving
-1x + 1x2 = -36 + 1x

Solving for variable 'x'.

Reorder the terms:
36 + -1x + -1x + 1x2 = -36 + 1x + 36 + -1x

Combine like terms: -1x + -1x = -2x
36 + -2x + 1x2 = -36 + 1x + 36 + -1x

Reorder the terms:
36 + -2x + 1x2 = -36 + 36 + 1x + -1x

Combine like terms: -36 + 36 = 0
36 + -2x + 1x2 = 0 + 1x + -1x
36 + -2x + 1x2 = 1x + -1x

Combine like terms: 1x + -1x = 0
36 + -2x + 1x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-36' to each side of the equation.
36 + -2x + -36 + x2 = 0 + -36

Reorder the terms:
36 + -36 + -2x + x2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -2x + x2 = 0 + -36
-2x + x2 = 0 + -36

Combine like terms: 0 + -36 = -36
-2x + x2 = -36

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -36 + 1

Reorder the terms:
1 + -2x + x2 = -36 + 1

Combine like terms: -36 + 1 = -35
1 + -2x + x2 = -35

Factor a perfect square on the left side:
(x + -1)(x + -1) = -35

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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