-3v^2+5v-17=-10

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Solution for -3v^2+5v-17=-10 equation:


Simplifying
-3v2 + 5v + -17 = -10

Reorder the terms:
-17 + 5v + -3v2 = -10

Solving
-17 + 5v + -3v2 = -10

Solving for variable 'v'.

Reorder the terms:
-17 + 10 + 5v + -3v2 = -10 + 10

Combine like terms: -17 + 10 = -7
-7 + 5v + -3v2 = -10 + 10

Combine like terms: -10 + 10 = 0
-7 + 5v + -3v2 = 0

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
2.333333333 + -1.666666667v + v2 = 0

Move the constant term to the right:

Add '-2.333333333' to each side of the equation.
2.333333333 + -1.666666667v + -2.333333333 + v2 = 0 + -2.333333333

Reorder the terms:
2.333333333 + -2.333333333 + -1.666666667v + v2 = 0 + -2.333333333

Combine like terms: 2.333333333 + -2.333333333 = 0.000000000
0.000000000 + -1.666666667v + v2 = 0 + -2.333333333
-1.666666667v + v2 = 0 + -2.333333333

Combine like terms: 0 + -2.333333333 = -2.333333333
-1.666666667v + v2 = -2.333333333

The v term is -1.666666667v.  Take half its coefficient (-0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
-1.666666667v + 0.6944444447 + v2 = -2.333333333 + 0.6944444447

Reorder the terms:
0.6944444447 + -1.666666667v + v2 = -2.333333333 + 0.6944444447

Combine like terms: -2.333333333 + 0.6944444447 = -1.6388888883
0.6944444447 + -1.666666667v + v2 = -1.6388888883

Factor a perfect square on the left side:
(v + -0.8333333335)(v + -0.8333333335) = -1.6388888883

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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