(-3d^2-8+2d)+(4d-12d^2)=

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Solution for (-3d^2-8+2d)+(4d-12d^2)= equation: 


Simplifying
(-3d2 + -8 + 2d) + (4d + -12d2) = 0

Reorder the terms:
(-8 + 2d + -3d2) + (4d + -12d2) = 0

Remove parenthesis around (-8 + 2d + -3d2)
-8 + 2d + -3d2 + (4d + -12d2) = 0

Remove parenthesis around (4d + -12d2)
-8 + 2d + -3d2 + 4d + -12d2 = 0

Reorder the terms:
-8 + 2d + 4d + -3d2 + -12d2 = 0

Combine like terms: 2d + 4d = 6d
-8 + 6d + -3d2 + -12d2 = 0

Combine like terms: -3d2 + -12d2 = -15d2
-8 + 6d + -15d2 = 0

Solving
-8 + 6d + -15d2 = 0

Solving for variable 'd'.

Begin completing the square.  Divide all terms by
-15 the coefficient of the squared term: 

Divide each side by '-15'.
0.5333333333 + -0.4d + d2 = 0

Move the constant term to the right:

Add '-0.5333333333' to each side of the equation.
0.5333333333 + -0.4d + -0.5333333333 + d2 = 0 + -0.5333333333

Reorder the terms:
0.5333333333 + -0.5333333333 + -0.4d + d2 = 0 + -0.5333333333

Combine like terms: 0.5333333333 + -0.5333333333 = 0.0000000000
0.0000000000 + -0.4d + d2 = 0 + -0.5333333333
-0.4d + d2 = 0 + -0.5333333333

Combine like terms: 0 + -0.5333333333 = -0.5333333333
-0.4d + d2 = -0.5333333333

The d term is -0.4d.  Take half its coefficient (-0.2).
Square it (0.04) and add it to both sides.

Add '0.04' to each side of the equation.
-0.4d + 0.04 + d2 = -0.5333333333 + 0.04

Reorder the terms:
0.04 + -0.4d + d2 = -0.5333333333 + 0.04

Combine like terms: -0.5333333333 + 0.04 = -0.4933333333
0.04 + -0.4d + d2 = -0.4933333333

Factor a perfect square on the left side:
(d + -0.2)(d + -0.2) = -0.4933333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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