(7x-.6)-(-2x^2+4x-8)=0

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Solution for (7x-.6)-(-2x^2+4x-8)=0 equation: 


Simplifying
(7x + -0.6) + -1(-2x2 + 4x + -8) = 0

Reorder the terms:
(-0.6 + 7x) + -1(-2x2 + 4x + -8) = 0

Remove parenthesis around (-0.6 + 7x)
-0.6 + 7x + -1(-2x2 + 4x + -8) = 0

Reorder the terms:
-0.6 + 7x + -1(-8 + 4x + -2x2) = 0
-0.6 + 7x + (-8 * -1 + 4x * -1 + -2x2 * -1) = 0
-0.6 + 7x + (8 + -4x + 2x2) = 0

Reorder the terms:
-0.6 + 8 + 7x + -4x + 2x2 = 0

Combine like terms: -0.6 + 8 = 7.4
7.4 + 7x + -4x + 2x2 = 0

Combine like terms: 7x + -4x = 3x
7.4 + 3x + 2x2 = 0

Solving
7.4 + 3x + 2x2 = 0

Solving for variable 'x'.

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

Divide each side by '2'.
3.7 + 1.5x + x2 = 0

Move the constant term to the right:

Add '-3.7' to each side of the equation.
3.7 + 1.5x + -3.7 + x2 = 0 + -3.7

Reorder the terms:
3.7 + -3.7 + 1.5x + x2 = 0 + -3.7

Combine like terms: 3.7 + -3.7 = 0.0
0.0 + 1.5x + x2 = 0 + -3.7
1.5x + x2 = 0 + -3.7

Combine like terms: 0 + -3.7 = -3.7
1.5x + x2 = -3.7

The x term is 1.5x.  Take half its coefficient (0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
1.5x + 0.5625 + x2 = -3.7 + 0.5625

Reorder the terms:
0.5625 + 1.5x + x2 = -3.7 + 0.5625

Combine like terms: -3.7 + 0.5625 = -3.1375
0.5625 + 1.5x + x2 = -3.1375

Factor a perfect square on the left side:
(x + 0.75)(x + 0.75) = -3.1375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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