(2(x^2))+3x+7=0

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Solution for (2(x^2))+3x+7=0 equation:


Simplifying
(2(x2)) + 3x + 7 = 0

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

Solving
7 + 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'.
3.5 + 1.5x + x2 = 0

Move the constant term to the right:

Add '-3.5' to each side of the equation.
3.5 + 1.5x + -3.5 + x2 = 0 + -3.5

Reorder the terms:
3.5 + -3.5 + 1.5x + x2 = 0 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + 1.5x + x2 = 0 + -3.5
1.5x + x2 = 0 + -3.5

Combine like terms: 0 + -3.5 = -3.5
1.5x + x2 = -3.5

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 = -3.5 + 0.5625

Reorder the terms:
0.5625 + 1.5x + x2 = -3.5 + 0.5625

Combine like terms: -3.5 + 0.5625 = -2.9375
0.5625 + 1.5x + x2 = -2.9375

Factor a perfect square on the left side:
((x) + 0.75)((x) + 0.75) = -2.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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