4a(2+3a)-5a+4=

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Solution for 4a(2+3a)-5a+4= equation: 


Simplifying
4a(2 + 3a) + -5a + 4 = 0
(2 * 4a + 3a * 4a) + -5a + 4 = 0
(8a + 12a2) + -5a + 4 = 0

Reorder the terms:
4 + 8a + -5a + 12a2 = 0

Combine like terms: 8a + -5a = 3a
4 + 3a + 12a2 = 0

Solving
4 + 3a + 12a2 = 0

Solving for variable 'a'.

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

Divide each side by '12'.
0.3333333333 + 0.25a + a2 = 0

Move the constant term to the right:

Add '-0.3333333333' to each side of the equation.
0.3333333333 + 0.25a + -0.3333333333 + a2 = 0 + -0.3333333333

Reorder the terms:
0.3333333333 + -0.3333333333 + 0.25a + a2 = 0 + -0.3333333333

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + 0.25a + a2 = 0 + -0.3333333333
0.25a + a2 = 0 + -0.3333333333

Combine like terms: 0 + -0.3333333333 = -0.3333333333
0.25a + a2 = -0.3333333333

The a term is 0.25a.  Take half its coefficient (0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
0.25a + 0.015625 + a2 = -0.3333333333 + 0.015625

Reorder the terms:
0.015625 + 0.25a + a2 = -0.3333333333 + 0.015625

Combine like terms: -0.3333333333 + 0.015625 = -0.3177083333
0.015625 + 0.25a + a2 = -0.3177083333

Factor a perfect square on the left side:
(a + 0.125)(a + 0.125) = -0.3177083333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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