3.1=-.018x^2+.25x+.7

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Solution for 3.1=-.018x^2+.25x+.7 equation: 


Simplifying
3.1 = -0.018x2 + 0.25x + 0.7

Reorder the terms:
3.1 = 0.7 + 0.25x + -0.018x2

Solving
3.1 = 0.7 + 0.25x + -0.018x2

Solving for variable 'x'.

Combine like terms: 3.1 + -0.7 = 2.4
2.4 + -0.25x + 0.018x2 = 0.7 + 0.25x + -0.018x2 + -0.7 + -0.25x + 0.018x2

Reorder the terms:
2.4 + -0.25x + 0.018x2 = 0.7 + -0.7 + 0.25x + -0.25x + -0.018x2 + 0.018x2

Combine like terms: 0.7 + -0.7 = 0.0
2.4 + -0.25x + 0.018x2 = 0.0 + 0.25x + -0.25x + -0.018x2 + 0.018x2
2.4 + -0.25x + 0.018x2 = 0.25x + -0.25x + -0.018x2 + 0.018x2

Combine like terms: 0.25x + -0.25x = 0.00
2.4 + -0.25x + 0.018x2 = 0.00 + -0.018x2 + 0.018x2
2.4 + -0.25x + 0.018x2 = -0.018x2 + 0.018x2

Combine like terms: -0.018x2 + 0.018x2 = 0.000
2.4 + -0.25x + 0.018x2 = 0.000

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

Divide each side by '0.018'.
133.3333333 + -13.88888889x + x2 = 0

Move the constant term to the right:

Add '-133.3333333' to each side of the equation.
133.3333333 + -13.88888889x + -133.3333333 + x2 = 0 + -133.3333333

Reorder the terms:
133.3333333 + -133.3333333 + -13.88888889x + x2 = 0 + -133.3333333

Combine like terms: 133.3333333 + -133.3333333 = 0.0000000
0.0000000 + -13.88888889x + x2 = 0 + -133.3333333
-13.88888889x + x2 = 0 + -133.3333333

Combine like terms: 0 + -133.3333333 = -133.3333333
-13.88888889x + x2 = -133.3333333

The x term is -13.88888889x.  Take half its coefficient (-6.944444445).
Square it (48.22530865) and add it to both sides.

Add '48.22530865' to each side of the equation.
-13.88888889x + 48.22530865 + x2 = -133.3333333 + 48.22530865

Reorder the terms:
48.22530865 + -13.88888889x + x2 = -133.3333333 + 48.22530865

Combine like terms: -133.3333333 + 48.22530865 = -85.10802465
48.22530865 + -13.88888889x + x2 = -85.10802465

Factor a perfect square on the left side:
(x + -6.944444445)(x + -6.944444445) = -85.10802465

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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