35d^2+42d=-184

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Solution for 35d^2+42d=-184 equation:


Simplifying
35d2 + 42d = -184

Reorder the terms:
42d + 35d2 = -184

Solving
42d + 35d2 = -184

Solving for variable 'd'.

Reorder the terms:
184 + 42d + 35d2 = -184 + 184

Combine like terms: -184 + 184 = 0
184 + 42d + 35d2 = 0

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

Divide each side by '35'.
5.257142857 + 1.2d + d2 = 0

Move the constant term to the right:

Add '-5.257142857' to each side of the equation.
5.257142857 + 1.2d + -5.257142857 + d2 = 0 + -5.257142857

Reorder the terms:
5.257142857 + -5.257142857 + 1.2d + d2 = 0 + -5.257142857

Combine like terms: 5.257142857 + -5.257142857 = 0.000000000
0.000000000 + 1.2d + d2 = 0 + -5.257142857
1.2d + d2 = 0 + -5.257142857

Combine like terms: 0 + -5.257142857 = -5.257142857
1.2d + d2 = -5.257142857

The d term is 1.2d.  Take half its coefficient (0.6).
Square it (0.36) and add it to both sides.

Add '0.36' to each side of the equation.
1.2d + 0.36 + d2 = -5.257142857 + 0.36

Reorder the terms:
0.36 + 1.2d + d2 = -5.257142857 + 0.36

Combine like terms: -5.257142857 + 0.36 = -4.897142857
0.36 + 1.2d + d2 = -4.897142857

Factor a perfect square on the left side:
(d + 0.6)(d + 0.6) = -4.897142857

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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