x^2=2x-143

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Solution for x^2=2x-143 equation:


Simplifying
x2 = 2x + -143

Reorder the terms:
x2 = -143 + 2x

Solving
x2 = -143 + 2x

Solving for variable 'x'.

Reorder the terms:
143 + -2x + x2 = -143 + 2x + 143 + -2x

Reorder the terms:
143 + -2x + x2 = -143 + 143 + 2x + -2x

Combine like terms: -143 + 143 = 0
143 + -2x + x2 = 0 + 2x + -2x
143 + -2x + x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
143 + -2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-143' to each side of the equation.
143 + -2x + -143 + x2 = 0 + -143

Reorder the terms:
143 + -143 + -2x + x2 = 0 + -143

Combine like terms: 143 + -143 = 0
0 + -2x + x2 = 0 + -143
-2x + x2 = 0 + -143

Combine like terms: 0 + -143 = -143
-2x + x2 = -143

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 = -143 + 1

Reorder the terms:
1 + -2x + x2 = -143 + 1

Combine like terms: -143 + 1 = -142
1 + -2x + x2 = -142

Factor a perfect square on the left side:
(x + -1)(x + -1) = -142

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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