3x^2-90x+950=0

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Solution for 3x^2-90x+950=0 equation:


Simplifying
3x2 + -90x + 950 = 0

Reorder the terms:
950 + -90x + 3x2 = 0

Solving
950 + -90x + 3x2 = 0

Solving for variable 'x'.

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

Divide each side by '3'.
316.6666667 + -30x + x2 = 0

Move the constant term to the right:

Add '-316.6666667' to each side of the equation.
316.6666667 + -30x + -316.6666667 + x2 = 0 + -316.6666667

Reorder the terms:
316.6666667 + -316.6666667 + -30x + x2 = 0 + -316.6666667

Combine like terms: 316.6666667 + -316.6666667 = 0.0000000
0.0000000 + -30x + x2 = 0 + -316.6666667
-30x + x2 = 0 + -316.6666667

Combine like terms: 0 + -316.6666667 = -316.6666667
-30x + x2 = -316.6666667

The x term is -30x.  Take half its coefficient (-15).
Square it (225) and add it to both sides.

Add '225' to each side of the equation.
-30x + 225 + x2 = -316.6666667 + 225

Reorder the terms:
225 + -30x + x2 = -316.6666667 + 225

Combine like terms: -316.6666667 + 225 = -91.6666667
225 + -30x + x2 = -91.6666667

Factor a perfect square on the left side:
(x + -15)(x + -15) = -91.6666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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