4x^2+6x+7=0

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Solution for 4x^2+6x+7=0 equation:


Simplifying
4x2 + 6x + 7 = 0

Reorder the terms:
7 + 6x + 4x2 = 0

Solving
7 + 6x + 4x2 = 0

Solving for variable 'x'.

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

Divide each side by '4'.
1.75 + 1.5x + x2 = 0

Move the constant term to the right:

Add '-1.75' to each side of the equation.
1.75 + 1.5x + -1.75 + x2 = 0 + -1.75

Reorder the terms:
1.75 + -1.75 + 1.5x + x2 = 0 + -1.75

Combine like terms: 1.75 + -1.75 = 0.00
0.00 + 1.5x + x2 = 0 + -1.75
1.5x + x2 = 0 + -1.75

Combine like terms: 0 + -1.75 = -1.75
1.5x + x2 = -1.75

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 = -1.75 + 0.5625

Reorder the terms:
0.5625 + 1.5x + x2 = -1.75 + 0.5625

Combine like terms: -1.75 + 0.5625 = -1.1875
0.5625 + 1.5x + x2 = -1.1875

Factor a perfect square on the left side:
(x + 0.75)(x + 0.75) = -1.1875

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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