3x+7+2x(4x)-3x+2x-4=

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Solution for 3x+7+2x(4x)-3x+2x-4= equation: 


Simplifying
3x + 7 + 2x(4x) + -3x + 2x + -4 = 0

Remove parenthesis around (4x)
3x + 7 + 2x * 4x + -3x + 2x + -4 = 0

Reorder the terms for easier multiplication:
3x + 7 + 2 * 4x * x + -3x + 2x + -4 = 0

Multiply 2 * 4
3x + 7 + 8x * x + -3x + 2x + -4 = 0

Multiply x * x
3x + 7 + 8x2 + -3x + 2x + -4 = 0

Reorder the terms:
7 + -4 + 3x + -3x + 2x + 8x2 = 0

Combine like terms: 7 + -4 = 3
3 + 3x + -3x + 2x + 8x2 = 0

Combine like terms: 3x + -3x = 0
3 + 0 + 2x + 8x2 = 0
3 + 2x + 8x2 = 0

Solving
3 + 2x + 8x2 = 0

Solving for variable 'x'.

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

Divide each side by '8'.
0.375 + 0.25x + x2 = 0

Move the constant term to the right:

Add '-0.375' to each side of the equation.
0.375 + 0.25x + -0.375 + x2 = 0 + -0.375

Reorder the terms:
0.375 + -0.375 + 0.25x + x2 = 0 + -0.375

Combine like terms: 0.375 + -0.375 = 0.000
0.000 + 0.25x + x2 = 0 + -0.375
0.25x + x2 = 0 + -0.375

Combine like terms: 0 + -0.375 = -0.375
0.25x + x2 = -0.375

The x term is 0.25x.  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.
0.25x + 0.015625 + x2 = -0.375 + 0.015625

Reorder the terms:
0.015625 + 0.25x + x2 = -0.375 + 0.015625

Combine like terms: -0.375 + 0.015625 = -0.359375
0.015625 + 0.25x + x2 = -0.359375

Factor a perfect square on the left side:
(x + 0.125)(x + 0.125) = -0.359375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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