86=-7a(a-2)-2a

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Solution for 86=-7a(a-2)-2a equation: 


Simplifying
86 = -7a(a + -2) + -2a

Reorder the terms:
86 = -7a(-2 + a) + -2a
86 = (-2 * -7a + a * -7a) + -2a
86 = (14a + -7a2) + -2a

Reorder the terms:
86 = 14a + -2a + -7a2

Combine like terms: 14a + -2a = 12a
86 = 12a + -7a2

Solving
86 = 12a + -7a2

Solving for variable 'a'.

Reorder the terms:
86 + -12a + 7a2 = 12a + -12a + -7a2 + 7a2

Combine like terms: 12a + -12a = 0
86 + -12a + 7a2 = 0 + -7a2 + 7a2
86 + -12a + 7a2 = -7a2 + 7a2

Combine like terms: -7a2 + 7a2 = 0
86 + -12a + 7a2 = 0

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

Divide each side by '7'.
12.28571429 + -1.714285714a + a2 = 0

Move the constant term to the right:

Add '-12.28571429' to each side of the equation.
12.28571429 + -1.714285714a + -12.28571429 + a2 = 0 + -12.28571429

Reorder the terms:
12.28571429 + -12.28571429 + -1.714285714a + a2 = 0 + -12.28571429

Combine like terms: 12.28571429 + -12.28571429 = 0.00000000
0.00000000 + -1.714285714a + a2 = 0 + -12.28571429
-1.714285714a + a2 = 0 + -12.28571429

Combine like terms: 0 + -12.28571429 = -12.28571429
-1.714285714a + a2 = -12.28571429

The a term is -1.714285714a.  Take half its coefficient (-0.857142857).
Square it (0.7346938773) and add it to both sides.

Add '0.7346938773' to each side of the equation.
-1.714285714a + 0.7346938773 + a2 = -12.28571429 + 0.7346938773

Reorder the terms:
0.7346938773 + -1.714285714a + a2 = -12.28571429 + 0.7346938773

Combine like terms: -12.28571429 + 0.7346938773 = -11.5510204127
0.7346938773 + -1.714285714a + a2 = -11.5510204127

Factor a perfect square on the left side:
(a + -0.857142857)(a + -0.857142857) = -11.5510204127

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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