4d((2d)(2d)-d+1)=

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Solution for 4d((2d)(2d)-d+1)= equation: 


Simplifying
4d((2d)(2d) + -1d + 1) = 0

Remove parenthesis around (2d)
4d(2d(2d) + -1d + 1) = 0

Remove parenthesis around (2d)
4d(2d * 2d + -1d + 1) = 0

Reorder the terms for easier multiplication:
4d(2 * 2d * d + -1d + 1) = 0

Multiply 2 * 2
4d(4d * d + -1d + 1) = 0

Multiply d * d
4d(4d2 + -1d + 1) = 0

Reorder the terms:
4d(1 + -1d + 4d2) = 0
(1 * 4d + -1d * 4d + 4d2 * 4d) = 0
(4d + -4d2 + 16d3) = 0

Solving
4d + -4d2 + 16d3 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '4d'.
4d(1 + -1d + 4d2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor 'd' equal to zero and attempt to solve:

Simplifying
d = 0

Solving
d = 0

Move all terms containing d to the left, all other terms to the right.

Simplifying
d = 0

Subproblem 2
Set the factor '(1 + -1d + 4d2)' equal to zero and attempt to solve:

Simplifying
1 + -1d + 4d2 = 0

Solving
1 + -1d + 4d2 = 0

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

Divide each side by '4'.
0.25 + -0.25d + d2 = 0

Move the constant term to the right:

Add '-0.25' to each side of the equation.
0.25 + -0.25d + -0.25 + d2 = 0 + -0.25

Reorder the terms:
0.25 + -0.25 + -0.25d + d2 = 0 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + -0.25d + d2 = 0 + -0.25
-0.25d + d2 = 0 + -0.25

Combine like terms: 0 + -0.25 = -0.25
-0.25d + d2 = -0.25

The d term is -0.25d.  Take half its coefficient (-0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
-0.25d + 0.015625 + d2 = -0.25 + 0.015625

Reorder the terms:
0.015625 + -0.25d + d2 = -0.25 + 0.015625

Combine like terms: -0.25 + 0.015625 = -0.234375
0.015625 + -0.25d + d2 = -0.234375

Factor a perfect square on the left side:
(d + -0.125)(d + -0.125) = -0.234375

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.
Solution
d = {0}

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