-7x^2-19x-10=19.4

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Solution for -7x^2-19x-10=19.4 equation:


Simplifying
-7x2 + -19x + -10 = 19.4

Reorder the terms:
-10 + -19x + -7x2 = 19.4

Solving
-10 + -19x + -7x2 = 19.4

Solving for variable 'x'.

Reorder the terms:
-10 + -19.4 + -19x + -7x2 = 19.4 + -19.4

Combine like terms: -10 + -19.4 = -29.4
-29.4 + -19x + -7x2 = 19.4 + -19.4

Combine like terms: 19.4 + -19.4 = 0.0
-29.4 + -19x + -7x2 = 0.0

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

Divide each side by '-7'.
4.2 + 2.714285714x + x2 = 0.0

Move the constant term to the right:

Add '-4.2' to each side of the equation.
4.2 + 2.714285714x + -4.2 + x2 = 0.0 + -4.2

Reorder the terms:
4.2 + -4.2 + 2.714285714x + x2 = 0.0 + -4.2

Combine like terms: 4.2 + -4.2 = 0.0
0.0 + 2.714285714x + x2 = 0.0 + -4.2
2.714285714x + x2 = 0.0 + -4.2

Combine like terms: 0.0 + -4.2 = -4.2
2.714285714x + x2 = -4.2

The x term is 2.714285714x.  Take half its coefficient (1.357142857).
Square it (1.841836734) and add it to both sides.

Add '1.841836734' to each side of the equation.
2.714285714x + 1.841836734 + x2 = -4.2 + 1.841836734

Reorder the terms:
1.841836734 + 2.714285714x + x2 = -4.2 + 1.841836734

Combine like terms: -4.2 + 1.841836734 = -2.358163266
1.841836734 + 2.714285714x + x2 = -2.358163266

Factor a perfect square on the left side:
(x + 1.357142857)(x + 1.357142857) = -2.358163266

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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