12+d(3d-5)=0

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Solution for 12+d(3d-5)=0 equation:


Simplifying
12 + d(3d + -5) = 0

Reorder the terms:
12 + d(-5 + 3d) = 0
12 + (-5 * d + 3d * d) = 0
12 + (-5d + 3d2) = 0

Solving
12 + -5d + 3d2 = 0

Solving for variable 'd'.

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

Divide each side by '3'.
4 + -1.666666667d + d2 = 0

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + -1.666666667d + -4 + d2 = 0 + -4

Reorder the terms:
4 + -4 + -1.666666667d + d2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1.666666667d + d2 = 0 + -4
-1.666666667d + d2 = 0 + -4

Combine like terms: 0 + -4 = -4
-1.666666667d + d2 = -4

The d term is -1.666666667d.  Take half its coefficient (-0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
-1.666666667d + 0.6944444447 + d2 = -4 + 0.6944444447

Reorder the terms:
0.6944444447 + -1.666666667d + d2 = -4 + 0.6944444447

Combine like terms: -4 + 0.6944444447 = -3.3055555553
0.6944444447 + -1.666666667d + d2 = -3.3055555553

Factor a perfect square on the left side:
(d + -0.8333333335)(d + -0.8333333335) = -3.3055555553

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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