(3x^2+5x+2)-(4-2x)+(5x^2+7)=

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Solution for (3x^2+5x+2)-(4-2x)+(5x^2+7)= equation:


Simplifying
(3x2 + 5x + 2) + -1(4 + -2x) + (5x2 + 7) = 0

Reorder the terms:
(2 + 5x + 3x2) + -1(4 + -2x) + (5x2 + 7) = 0

Remove parenthesis around (2 + 5x + 3x2)
2 + 5x + 3x2 + -1(4 + -2x) + (5x2 + 7) = 0
2 + 5x + 3x2 + (4 * -1 + -2x * -1) + (5x2 + 7) = 0
2 + 5x + 3x2 + (-4 + 2x) + (5x2 + 7) = 0

Reorder the terms:
2 + 5x + 3x2 + -4 + 2x + (7 + 5x2) = 0

Remove parenthesis around (7 + 5x2)
2 + 5x + 3x2 + -4 + 2x + 7 + 5x2 = 0

Reorder the terms:
2 + -4 + 7 + 5x + 2x + 3x2 + 5x2 = 0

Combine like terms: 2 + -4 = -2
-2 + 7 + 5x + 2x + 3x2 + 5x2 = 0

Combine like terms: -2 + 7 = 5
5 + 5x + 2x + 3x2 + 5x2 = 0

Combine like terms: 5x + 2x = 7x
5 + 7x + 3x2 + 5x2 = 0

Combine like terms: 3x2 + 5x2 = 8x2
5 + 7x + 8x2 = 0

Solving
5 + 7x + 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'.
0.625 + 0.875x + x2 = 0

Move the constant term to the right:

Add '-0.625' to each side of the equation.
0.625 + 0.875x + -0.625 + x2 = 0 + -0.625

Reorder the terms:
0.625 + -0.625 + 0.875x + x2 = 0 + -0.625

Combine like terms: 0.625 + -0.625 = 0.000
0.000 + 0.875x + x2 = 0 + -0.625
0.875x + x2 = 0 + -0.625

Combine like terms: 0 + -0.625 = -0.625
0.875x + x2 = -0.625

The x term is 0.875x.  Take half its coefficient (0.4375).
Square it (0.19140625) and add it to both sides.

Add '0.19140625' to each side of the equation.
0.875x + 0.19140625 + x2 = -0.625 + 0.19140625

Reorder the terms:
0.19140625 + 0.875x + x2 = -0.625 + 0.19140625

Combine like terms: -0.625 + 0.19140625 = -0.43359375
0.19140625 + 0.875x + x2 = -0.43359375

Factor a perfect square on the left side:
(x + 0.4375)(x + 0.4375) = -0.43359375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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