7a(a-4)-2a((8a*8a)-4a+3)=

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Solution for 7a(a-4)-2a((8a*8a)-4a+3)= equation: 


Simplifying
7a(a + -4) + -2a((8a * 8a) + -4a + 3) = 0

Reorder the terms:
7a(-4 + a) + -2a((8a * 8a) + -4a + 3) = 0
(-4 * 7a + a * 7a) + -2a((8a * 8a) + -4a + 3) = 0
(-28a + 7a2) + -2a((8a * 8a) + -4a + 3) = 0

Reorder the terms for easier multiplication:
-28a + 7a2 + -2a((8 * 8a * a) + -4a + 3) = 0

Multiply 8 * 8
-28a + 7a2 + -2a((64a * a) + -4a + 3) = 0

Multiply a * a
-28a + 7a2 + -2a((64a2) + -4a + 3) = 0

Reorder the terms:
-28a + 7a2 + -2a(3 + -4a + (64a2)) = 0
-28a + 7a2 + (3 * -2a + -4a * -2a + (64a2) * -2a) = 0
-28a + 7a2 + (-6a + 8a2 + -128a3) = 0

Reorder the terms:
-28a + -6a + 7a2 + 8a2 + -128a3 = 0

Combine like terms: -28a + -6a = -34a
-34a + 7a2 + 8a2 + -128a3 = 0

Combine like terms: 7a2 + 8a2 = 15a2
-34a + 15a2 + -128a3 = 0

Solving
-34a + 15a2 + -128a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(-34 + 15a + -128a2) = 0


Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

Move all terms containing a to the left, all other terms to the right.

Simplifying
a = 0

Subproblem 2
Set the factor '(-34 + 15a + -128a2)' equal to zero and attempt to solve:

Simplifying
-34 + 15a + -128a2 = 0

Solving
-34 + 15a + -128a2 = 0

Begin completing the square.  Divide all terms by
-128 the coefficient of the squared term: 

Divide each side by '-128'.
0.265625 + -0.1171875a + a2 = 0

Move the constant term to the right:

Add '-0.265625' to each side of the equation.
0.265625 + -0.1171875a + -0.265625 + a2 = 0 + -0.265625

Reorder the terms:
0.265625 + -0.265625 + -0.1171875a + a2 = 0 + -0.265625

Combine like terms: 0.265625 + -0.265625 = 0.000000
0.000000 + -0.1171875a + a2 = 0 + -0.265625
-0.1171875a + a2 = 0 + -0.265625

Combine like terms: 0 + -0.265625 = -0.265625
-0.1171875a + a2 = -0.265625

The a term is -0.1171875a.  Take half its coefficient (-0.05859375).
Square it (0.003433227539) and add it to both sides.

Add '0.003433227539' to each side of the equation.
-0.1171875a + 0.003433227539 + a2 = -0.265625 + 0.003433227539

Reorder the terms:
0.003433227539 + -0.1171875a + a2 = -0.265625 + 0.003433227539

Combine like terms: -0.265625 + 0.003433227539 = -0.262191772461
0.003433227539 + -0.1171875a + a2 = -0.262191772461

Factor a perfect square on the left side:
(a + -0.05859375)(a + -0.05859375) = -0.262191772461

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}

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