8x^2+3x=-19

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Solution for 8x^2+3x=-19 equation:


Simplifying
8x2 + 3x = -19

Reorder the terms:
3x + 8x2 = -19

Solving
3x + 8x2 = -19

Solving for variable 'x'.

Reorder the terms:
19 + 3x + 8x2 = -19 + 19

Combine like terms: -19 + 19 = 0
19 + 3x + 8x2 = 0

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

Divide each side by '8'.
2.375 + 0.375x + x2 = 0

Move the constant term to the right:

Add '-2.375' to each side of the equation.
2.375 + 0.375x + -2.375 + x2 = 0 + -2.375

Reorder the terms:
2.375 + -2.375 + 0.375x + x2 = 0 + -2.375

Combine like terms: 2.375 + -2.375 = 0.000
0.000 + 0.375x + x2 = 0 + -2.375
0.375x + x2 = 0 + -2.375

Combine like terms: 0 + -2.375 = -2.375
0.375x + x2 = -2.375

The x term is 0.375x.  Take half its coefficient (0.1875).
Square it (0.03515625) and add it to both sides.

Add '0.03515625' to each side of the equation.
0.375x + 0.03515625 + x2 = -2.375 + 0.03515625

Reorder the terms:
0.03515625 + 0.375x + x2 = -2.375 + 0.03515625

Combine like terms: -2.375 + 0.03515625 = -2.33984375
0.03515625 + 0.375x + x2 = -2.33984375

Factor a perfect square on the left side:
(x + 0.1875)(x + 0.1875) = -2.33984375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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