10+x(x-2)=2

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Solution for 10+x(x-2)=2 equation:


Simplifying
10 + x(x + -2) = 2

Reorder the terms:
10 + x(-2 + x) = 2
10 + (-2 * x + x * x) = 2
10 + (-2x + x2) = 2

Solving
10 + -2x + x2 = 2

Solving for variable 'x'.

Reorder the terms:
10 + -2 + -2x + x2 = 2 + -2

Combine like terms: 10 + -2 = 8
8 + -2x + x2 = 2 + -2

Combine like terms: 2 + -2 = 0
8 + -2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + -2x + -8 + x2 = 0 + -8

Reorder the terms:
8 + -8 + -2x + x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -2x + x2 = 0 + -8
-2x + x2 = 0 + -8

Combine like terms: 0 + -8 = -8
-2x + x2 = -8

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 = -8 + 1

Reorder the terms:
1 + -2x + x2 = -8 + 1

Combine like terms: -8 + 1 = -7
1 + -2x + x2 = -7

Factor a perfect square on the left side:
(x + -1)(x + -1) = -7

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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