6x^2+19x-10=-26

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Solution for 6x^2+19x-10=-26 equation: 


Simplifying
6x2 + 19x + -10 = -26

Reorder the terms:
-10 + 19x + 6x2 = -26

Solving
-10 + 19x + 6x2 = -26

Solving for variable 'x'.

Reorder the terms:
-10 + 26 + 19x + 6x2 = -26 + 26

Combine like terms: -10 + 26 = 16
16 + 19x + 6x2 = -26 + 26

Combine like terms: -26 + 26 = 0
16 + 19x + 6x2 = 0

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

Divide each side by '6'.
2.666666667 + 3.166666667x + x2 = 0

Move the constant term to the right:

Add '-2.666666667' to each side of the equation.
2.666666667 + 3.166666667x + -2.666666667 + x2 = 0 + -2.666666667

Reorder the terms:
2.666666667 + -2.666666667 + 3.166666667x + x2 = 0 + -2.666666667

Combine like terms: 2.666666667 + -2.666666667 = 0.000000000
0.000000000 + 3.166666667x + x2 = 0 + -2.666666667
3.166666667x + x2 = 0 + -2.666666667

Combine like terms: 0 + -2.666666667 = -2.666666667
3.166666667x + x2 = -2.666666667

The x term is 3.166666667x.  Take half its coefficient (1.583333334).
Square it (2.506944447) and add it to both sides.

Add '2.506944447' to each side of the equation.
3.166666667x + 2.506944447 + x2 = -2.666666667 + 2.506944447

Reorder the terms:
2.506944447 + 3.166666667x + x2 = -2.666666667 + 2.506944447

Combine like terms: -2.666666667 + 2.506944447 = -0.15972222
2.506944447 + 3.166666667x + x2 = -0.15972222

Factor a perfect square on the left side:
(x + 1.583333334)(x + 1.583333334) = -0.15972222

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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