4x^2+19x=-30

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Solution for 4x^2+19x=-30 equation:


Simplifying
4x2 + 19x = -30

Reorder the terms:
19x + 4x2 = -30

Solving
19x + 4x2 = -30

Solving for variable 'x'.

Reorder the terms:
30 + 19x + 4x2 = -30 + 30

Combine like terms: -30 + 30 = 0
30 + 19x + 4x2 = 0

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

Divide each side by '4'.
7.5 + 4.75x + x2 = 0

Move the constant term to the right:

Add '-7.5' to each side of the equation.
7.5 + 4.75x + -7.5 + x2 = 0 + -7.5

Reorder the terms:
7.5 + -7.5 + 4.75x + x2 = 0 + -7.5

Combine like terms: 7.5 + -7.5 = 0.0
0.0 + 4.75x + x2 = 0 + -7.5
4.75x + x2 = 0 + -7.5

Combine like terms: 0 + -7.5 = -7.5
4.75x + x2 = -7.5

The x term is 4.75x.  Take half its coefficient (2.375).
Square it (5.640625) and add it to both sides.

Add '5.640625' to each side of the equation.
4.75x + 5.640625 + x2 = -7.5 + 5.640625

Reorder the terms:
5.640625 + 4.75x + x2 = -7.5 + 5.640625

Combine like terms: -7.5 + 5.640625 = -1.859375
5.640625 + 4.75x + x2 = -1.859375

Factor a perfect square on the left side:
(x + 2.375)(x + 2.375) = -1.859375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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