7x^2=-4x-7

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Solution for 7x^2=-4x-7 equation: 


Simplifying
7x2 = -4x + -7

Reorder the terms:
7x2 = -7 + -4x

Solving
7x2 = -7 + -4x

Solving for variable 'x'.

Reorder the terms:
7 + 4x + 7x2 = -7 + -4x + 7 + 4x

Reorder the terms:
7 + 4x + 7x2 = -7 + 7 + -4x + 4x

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

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

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

Divide each side by '7'.
1 + 0.5714285714x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + 0.5714285714x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + 0.5714285714x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 0.5714285714x + x2 = 0 + -1
0.5714285714x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
0.5714285714x + x2 = -1

The x term is 0.5714285714x.  Take half its coefficient (0.2857142857).
Square it (0.08163265305) and add it to both sides.

Add '0.08163265305' to each side of the equation.
0.5714285714x + 0.08163265305 + x2 = -1 + 0.08163265305

Reorder the terms:
0.08163265305 + 0.5714285714x + x2 = -1 + 0.08163265305

Combine like terms: -1 + 0.08163265305 = -0.91836734695
0.08163265305 + 0.5714285714x + x2 = -0.91836734695

Factor a perfect square on the left side:
(x + 0.2857142857)(x + 0.2857142857) = -0.91836734695

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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