x(x+2)-x(-6)=10x-2

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Solution for x(x+2)-x(-6)=10x-2 equation: 


Simplifying
x(x + 2) + -1x(-6) = 10x + -2

Reorder the terms:
x(2 + x) + -1x(-6) = 10x + -2
(2 * x + x * x) + -1x(-6) = 10x + -2
(2x + x2) + -1x(-6) = 10x + -2

Reorder the terms for easier multiplication:
2x + x2 + -1 * -6x = 10x + -2

Multiply -1 * -6
2x + x2 + 6x = 10x + -2

Reorder the terms:
2x + 6x + x2 = 10x + -2

Combine like terms: 2x + 6x = 8x
8x + x2 = 10x + -2

Reorder the terms:
8x + x2 = -2 + 10x

Solving
8x + x2 = -2 + 10x

Solving for variable 'x'.

Reorder the terms:
2 + 8x + -10x + x2 = -2 + 10x + 2 + -10x

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

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

Combine like terms: -2 + 2 = 0
2 + -2x + x2 = 0 + 10x + -10x
2 + -2x + x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
2 + -2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

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

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

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

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

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 = -2 + 1

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

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

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

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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