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

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


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

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

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

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

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

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

Combine like terms: -8 + -12 = -20
-20 + 2d + 4d + -3d2 + d2 = 0

Combine like terms: 2d + 4d = 6d
-20 + 6d + -3d2 + d2 = 0

Combine like terms: -3d2 + d2 = -2d2
-20 + 6d + -2d2 = 0

Solving
-20 + 6d + -2d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-10 + 3d + -1d2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-10 + 3d + -1d2)' equal to zero and attempt to solve:

Simplifying
-10 + 3d + -1d2 = 0

Solving
-10 + 3d + -1d2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
10 + -3d + d2 = 0

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + -3d + -10 + d2 = 0 + -10

Reorder the terms:
10 + -10 + -3d + d2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3d + d2 = 0 + -10
-3d + d2 = 0 + -10

Combine like terms: 0 + -10 = -10
-3d + d2 = -10

The d term is -3d.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3d + 2.25 + d2 = -10 + 2.25

Reorder the terms:
2.25 + -3d + d2 = -10 + 2.25

Combine like terms: -10 + 2.25 = -7.75
2.25 + -3d + d2 = -7.75

Factor a perfect square on the left side:
(d + -1.5)(d + -1.5) = -7.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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