d^2-16d-64=

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Solution for d^2-16d-64= equation:


Simplifying
d2 + -16d + -64 = 0

Reorder the terms:
-64 + -16d + d2 = 0

Solving
-64 + -16d + d2 = 0

Solving for variable 'd'.

Begin completing the square.

Move the constant term to the right:

Add '64' to each side of the equation.
-64 + -16d + 64 + d2 = 0 + 64

Reorder the terms:
-64 + 64 + -16d + d2 = 0 + 64

Combine like terms: -64 + 64 = 0
0 + -16d + d2 = 0 + 64
-16d + d2 = 0 + 64

Combine like terms: 0 + 64 = 64
-16d + d2 = 64

The d term is -16d.  Take half its coefficient (-8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
-16d + 64 + d2 = 64 + 64

Reorder the terms:
64 + -16d + d2 = 64 + 64

Combine like terms: 64 + 64 = 128
64 + -16d + d2 = 128

Factor a perfect square on the left side:
(d + -8)(d + -8) = 128

Calculate the square root of the right side: 11.313708499

Break this problem into two subproblems by setting 
(d + -8) equal to 11.313708499 and -11.313708499.

Subproblem 1

d + -8 = 11.313708499 Simplifying d + -8 = 11.313708499 Reorder the terms: -8 + d = 11.313708499 Solving -8 + d = 11.313708499 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + d = 11.313708499 + 8 Combine like terms: -8 + 8 = 0 0 + d = 11.313708499 + 8 d = 11.313708499 + 8 Combine like terms: 11.313708499 + 8 = 19.313708499 d = 19.313708499 Simplifying d = 19.313708499

Subproblem 2

d + -8 = -11.313708499 Simplifying d + -8 = -11.313708499 Reorder the terms: -8 + d = -11.313708499 Solving -8 + d = -11.313708499 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + d = -11.313708499 + 8 Combine like terms: -8 + 8 = 0 0 + d = -11.313708499 + 8 d = -11.313708499 + 8 Combine like terms: -11.313708499 + 8 = -3.313708499 d = -3.313708499 Simplifying d = -3.313708499

Solution

The solution to the problem is based on the solutions from the subproblems. d = {19.313708499, -3.313708499}

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