3=-.018x^2+.25x+.07

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Solution for 3=-.018x^2+.25x+.07 equation:


Simplifying
3 = -0.018x2 + 0.25x + 0.07

Reorder the terms:
3 = 0.07 + 0.25x + -0.018x2

Solving
3 = 0.07 + 0.25x + -0.018x2

Solving for variable 'x'.

Combine like terms: 3 + -0.07 = 2.93
2.93 + -0.25x + 0.018x2 = 0.07 + 0.25x + -0.018x2 + -0.07 + -0.25x + 0.018x2

Reorder the terms:
2.93 + -0.25x + 0.018x2 = 0.07 + -0.07 + 0.25x + -0.25x + -0.018x2 + 0.018x2

Combine like terms: 0.07 + -0.07 = 0.00
2.93 + -0.25x + 0.018x2 = 0.00 + 0.25x + -0.25x + -0.018x2 + 0.018x2
2.93 + -0.25x + 0.018x2 = 0.25x + -0.25x + -0.018x2 + 0.018x2

Combine like terms: 0.25x + -0.25x = 0.00
2.93 + -0.25x + 0.018x2 = 0.00 + -0.018x2 + 0.018x2
2.93 + -0.25x + 0.018x2 = -0.018x2 + 0.018x2

Combine like terms: -0.018x2 + 0.018x2 = 0.000
2.93 + -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'.
162.7777778 + -13.88888889x + x2 = 0

Move the constant term to the right:

Add '-162.7777778' to each side of the equation.
162.7777778 + -13.88888889x + -162.7777778 + x2 = 0 + -162.7777778

Reorder the terms:
162.7777778 + -162.7777778 + -13.88888889x + x2 = 0 + -162.7777778

Combine like terms: 162.7777778 + -162.7777778 = 0.0000000
0.0000000 + -13.88888889x + x2 = 0 + -162.7777778
-13.88888889x + x2 = 0 + -162.7777778

Combine like terms: 0 + -162.7777778 = -162.7777778
-13.88888889x + x2 = -162.7777778

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 = -162.7777778 + 48.22530865

Reorder the terms:
48.22530865 + -13.88888889x + x2 = -162.7777778 + 48.22530865

Combine like terms: -162.7777778 + 48.22530865 = -114.55246915
48.22530865 + -13.88888889x + x2 = -114.55246915

Factor a perfect square on the left side:
(x + -6.944444445)(x + -6.944444445) = -114.55246915

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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