5x^2+4x=-57

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Solution for 5x^2+4x=-57 equation:


Simplifying
5x2 + 4x = -57

Reorder the terms:
4x + 5x2 = -57

Solving
4x + 5x2 = -57

Solving for variable 'x'.

Reorder the terms:
57 + 4x + 5x2 = -57 + 57

Combine like terms: -57 + 57 = 0
57 + 4x + 5x2 = 0

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

Divide each side by '5'.
11.4 + 0.8x + x2 = 0

Move the constant term to the right:

Add '-11.4' to each side of the equation.
11.4 + 0.8x + -11.4 + x2 = 0 + -11.4

Reorder the terms:
11.4 + -11.4 + 0.8x + x2 = 0 + -11.4

Combine like terms: 11.4 + -11.4 = 0.0
0.0 + 0.8x + x2 = 0 + -11.4
0.8x + x2 = 0 + -11.4

Combine like terms: 0 + -11.4 = -11.4
0.8x + x2 = -11.4

The x term is 0.8x.  Take half its coefficient (0.4).
Square it (0.16) and add it to both sides.

Add '0.16' to each side of the equation.
0.8x + 0.16 + x2 = -11.4 + 0.16

Reorder the terms:
0.16 + 0.8x + x2 = -11.4 + 0.16

Combine like terms: -11.4 + 0.16 = -11.24
0.16 + 0.8x + x2 = -11.24

Factor a perfect square on the left side:
(x + 0.4)(x + 0.4) = -11.24

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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