5(4d^2-d)-9(d-2)=

Solution for 5(4d^2-d)-9(d-2)= equation:

Simplifying
5(4d2 + -1d) + -9(d + -2) = 0

Reorder the terms:
5(-1d + 4d2) + -9(d + -2) = 0
(-1d * 5 + 4d2 * 5) + -9(d + -2) = 0
(-5d + 20d2) + -9(d + -2) = 0

Reorder the terms:
-5d + 20d2 + -9(-2 + d) = 0
-5d + 20d2 + (-2 * -9 + d * -9) = 0
-5d + 20d2 + (18 + -9d) = 0

Reorder the terms:
18 + -5d + -9d + 20d2 = 0

Combine like terms: -5d + -9d = -14d
18 + -14d + 20d2 = 0

Solving
18 + -14d + 20d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '2'.
2(9 + -7d + 10d2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(9 + -7d + 10d2)' equal to zero and attempt to solve:

Simplifying
9 + -7d + 10d2 = 0

Solving
9 + -7d + 10d2 = 0

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

Divide each side by '10'.
0.9 + -0.7d + d2 = 0.0

Move the constant term to the right:

Add '-0.9' to each side of the equation.
0.9 + -0.7d + -0.9 + d2 = 0.0 + -0.9

Reorder the terms:
0.9 + -0.9 + -0.7d + d2 = 0.0 + -0.9

Combine like terms: 0.9 + -0.9 = 0.0
0.0 + -0.7d + d2 = 0.0 + -0.9
-0.7d + d2 = 0.0 + -0.9

Combine like terms: 0.0 + -0.9 = -0.9
-0.7d + d2 = -0.9

The d term is -0.7d.  Take half its coefficient (-0.35).
Square it (0.1225) and add it to both sides.

Add '0.1225' to each side of the equation.
-0.7d + 0.1225 + d2 = -0.9 + 0.1225

Reorder the terms:
0.1225 + -0.7d + d2 = -0.9 + 0.1225

Combine like terms: -0.9 + 0.1225 = -0.7775
0.1225 + -0.7d + d2 = -0.7775

Factor a perfect square on the left side:
(d + -0.35)(d + -0.35) = -0.7775

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.