5x^2+3x+7=0

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Solution for 5x^2+3x+7=0 equation:


Simplifying
5x2 + 3x + 7 = 0

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

Solving
7 + 3x + 5x2 = 0

Solving for variable 'x'.

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

Divide each side by '5'.
1.4 + 0.6x + x2 = 0

Move the constant term to the right:

Add '-1.4' to each side of the equation.
1.4 + 0.6x + -1.4 + x2 = 0 + -1.4

Reorder the terms:
1.4 + -1.4 + 0.6x + x2 = 0 + -1.4

Combine like terms: 1.4 + -1.4 = 0.0
0.0 + 0.6x + x2 = 0 + -1.4
0.6x + x2 = 0 + -1.4

Combine like terms: 0 + -1.4 = -1.4
0.6x + x2 = -1.4

The x term is 0.6x.  Take half its coefficient (0.3).
Square it (0.09) and add it to both sides.

Add '0.09' to each side of the equation.
0.6x + 0.09 + x2 = -1.4 + 0.09

Reorder the terms:
0.09 + 0.6x + x2 = -1.4 + 0.09

Combine like terms: -1.4 + 0.09 = -1.31
0.09 + 0.6x + x2 = -1.31

Factor a perfect square on the left side:
(x + 0.3)(x + 0.3) = -1.31

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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