-18d+5d(8+3d)=7(3d-8)

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Solution for -18d+5d(8+3d)=7(3d-8) equation:


Simplifying
-18d + 5d(8 + 3d) = 7(3d + -8)
-18d + (8 * 5d + 3d * 5d) = 7(3d + -8)
-18d + (40d + 15d2) = 7(3d + -8)

Combine like terms: -18d + 40d = 22d
22d + 15d2 = 7(3d + -8)

Reorder the terms:
22d + 15d2 = 7(-8 + 3d)
22d + 15d2 = (-8 * 7 + 3d * 7)
22d + 15d2 = (-56 + 21d)

Solving
22d + 15d2 = -56 + 21d

Solving for variable 'd'.

Reorder the terms:
56 + 22d + -21d + 15d2 = -56 + 21d + 56 + -21d

Combine like terms: 22d + -21d = 1d
56 + 1d + 15d2 = -56 + 21d + 56 + -21d

Reorder the terms:
56 + 1d + 15d2 = -56 + 56 + 21d + -21d

Combine like terms: -56 + 56 = 0
56 + 1d + 15d2 = 0 + 21d + -21d
56 + 1d + 15d2 = 21d + -21d

Combine like terms: 21d + -21d = 0
56 + 1d + 15d2 = 0

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

Divide each side by '15'.
3.733333333 + 0.06666666667d + d2 = 0

Move the constant term to the right:

Add '-3.733333333' to each side of the equation.
3.733333333 + 0.06666666667d + -3.733333333 + d2 = 0 + -3.733333333

Reorder the terms:
3.733333333 + -3.733333333 + 0.06666666667d + d2 = 0 + -3.733333333

Combine like terms: 3.733333333 + -3.733333333 = 0.000000000
0.000000000 + 0.06666666667d + d2 = 0 + -3.733333333
0.06666666667d + d2 = 0 + -3.733333333

Combine like terms: 0 + -3.733333333 = -3.733333333
0.06666666667d + d2 = -3.733333333

The d term is 0.06666666667d.  Take half its coefficient (0.03333333334).
Square it (0.001111111112) and add it to both sides.

Add '0.001111111112' to each side of the equation.
0.06666666667d + 0.001111111112 + d2 = -3.733333333 + 0.001111111112

Reorder the terms:
0.001111111112 + 0.06666666667d + d2 = -3.733333333 + 0.001111111112

Combine like terms: -3.733333333 + 0.001111111112 = -3.732222221888
0.001111111112 + 0.06666666667d + d2 = -3.732222221888

Factor a perfect square on the left side:
(d + 0.03333333334)(d + 0.03333333334) = -3.732222221888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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