17a^2+32=7-40a

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Solution for 17a^2+32=7-40a equation: 


Simplifying
17a2 + 32 = 7 + -40a

Reorder the terms:
32 + 17a2 = 7 + -40a

Solving
32 + 17a2 = 7 + -40a

Solving for variable 'a'.

Reorder the terms:
32 + -7 + 40a + 17a2 = 7 + -40a + -7 + 40a

Combine like terms: 32 + -7 = 25
25 + 40a + 17a2 = 7 + -40a + -7 + 40a

Reorder the terms:
25 + 40a + 17a2 = 7 + -7 + -40a + 40a

Combine like terms: 7 + -7 = 0
25 + 40a + 17a2 = 0 + -40a + 40a
25 + 40a + 17a2 = -40a + 40a

Combine like terms: -40a + 40a = 0
25 + 40a + 17a2 = 0

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

Divide each side by '17'.
1.470588235 + 2.352941176a + a2 = 0

Move the constant term to the right:

Add '-1.470588235' to each side of the equation.
1.470588235 + 2.352941176a + -1.470588235 + a2 = 0 + -1.470588235

Reorder the terms:
1.470588235 + -1.470588235 + 2.352941176a + a2 = 0 + -1.470588235

Combine like terms: 1.470588235 + -1.470588235 = 0.000000000
0.000000000 + 2.352941176a + a2 = 0 + -1.470588235
2.352941176a + a2 = 0 + -1.470588235

Combine like terms: 0 + -1.470588235 = -1.470588235
2.352941176a + a2 = -1.470588235

The a term is 2.352941176a.  Take half its coefficient (1.176470588).
Square it (1.384083044) and add it to both sides.

Add '1.384083044' to each side of the equation.
2.352941176a + 1.384083044 + a2 = -1.470588235 + 1.384083044

Reorder the terms:
1.384083044 + 2.352941176a + a2 = -1.470588235 + 1.384083044

Combine like terms: -1.470588235 + 1.384083044 = -0.086505191
1.384083044 + 2.352941176a + a2 = -0.086505191

Factor a perfect square on the left side:
(a + 1.176470588)(a + 1.176470588) = -0.086505191

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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