2d(d-2)=-7

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Solution for 2d(d-2)=-7 equation:


Simplifying
2d(d + -2) = -7

Reorder the terms:
2d(-2 + d) = -7
(-2 * 2d + d * 2d) = -7
(-4d + 2d2) = -7

Solving
-4d + 2d2 = -7

Solving for variable 'd'.

Reorder the terms:
7 + -4d + 2d2 = -7 + 7

Combine like terms: -7 + 7 = 0
7 + -4d + 2d2 = 0

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
3.5 + -2d + d2 = 0

Move the constant term to the right:

Add '-3.5' to each side of the equation.
3.5 + -2d + -3.5 + d2 = 0 + -3.5

Reorder the terms:
3.5 + -3.5 + -2d + d2 = 0 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + -2d + d2 = 0 + -3.5
-2d + d2 = 0 + -3.5

Combine like terms: 0 + -3.5 = -3.5
-2d + d2 = -3.5

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

Add '1' to each side of the equation.
-2d + 1 + d2 = -3.5 + 1

Reorder the terms:
1 + -2d + d2 = -3.5 + 1

Combine like terms: -3.5 + 1 = -2.5
1 + -2d + d2 = -2.5

Factor a perfect square on the left side:
(d + -1)(d + -1) = -2.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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