7+2(3+4a)a=0.25

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Solution for 7+2(3+4a)a=0.25 equation: 


Simplifying
7 + 2(3 + 4a) * a = 0.25

Reorder the terms for easier multiplication:
7 + 2a(3 + 4a) = 0.25
7 + (3 * 2a + 4a * 2a) = 0.25
7 + (6a + 8a2) = 0.25

Solving
7 + 6a + 8a2 = 0.25

Solving for variable 'a'.

Reorder the terms:
7 + -0.25 + 6a + 8a2 = 0.25 + -0.25

Combine like terms: 7 + -0.25 = 6.75
6.75 + 6a + 8a2 = 0.25 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
6.75 + 6a + 8a2 = 0.00

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

Divide each side by '8'.
0.84375 + 0.75a + a2 = 0.00

Move the constant term to the right:

Add '-0.84375' to each side of the equation.
0.84375 + 0.75a + -0.84375 + a2 = 0.00 + -0.84375

Reorder the terms:
0.84375 + -0.84375 + 0.75a + a2 = 0.00 + -0.84375

Combine like terms: 0.84375 + -0.84375 = 0.00000
0.00000 + 0.75a + a2 = 0.00 + -0.84375
0.75a + a2 = 0.00 + -0.84375

Combine like terms: 0.00 + -0.84375 = -0.84375
0.75a + a2 = -0.84375

The a term is 0.75a.  Take half its coefficient (0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
0.75a + 0.140625 + a2 = -0.84375 + 0.140625

Reorder the terms:
0.140625 + 0.75a + a2 = -0.84375 + 0.140625

Combine like terms: -0.84375 + 0.140625 = -0.703125
0.140625 + 0.75a + a2 = -0.703125

Factor a perfect square on the left side:
(a + 0.375)(a + 0.375) = -0.703125

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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