3x^2-80x+760=0

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Solution for 3x^2-80x+760=0 equation:


Simplifying
3x2 + -80x + 760 = 0

Reorder the terms:
760 + -80x + 3x2 = 0

Solving
760 + -80x + 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'.
253.3333333 + -26.66666667x + x2 = 0

Move the constant term to the right:

Add '-253.3333333' to each side of the equation.
253.3333333 + -26.66666667x + -253.3333333 + x2 = 0 + -253.3333333

Reorder the terms:
253.3333333 + -253.3333333 + -26.66666667x + x2 = 0 + -253.3333333

Combine like terms: 253.3333333 + -253.3333333 = 0.0000000
0.0000000 + -26.66666667x + x2 = 0 + -253.3333333
-26.66666667x + x2 = 0 + -253.3333333

Combine like terms: 0 + -253.3333333 = -253.3333333
-26.66666667x + x2 = -253.3333333

The x term is -26.66666667x.  Take half its coefficient (-13.33333334).
Square it (177.7777780) and add it to both sides.

Add '177.7777780' to each side of the equation.
-26.66666667x + 177.7777780 + x2 = -253.3333333 + 177.7777780

Reorder the terms:
177.7777780 + -26.66666667x + x2 = -253.3333333 + 177.7777780

Combine like terms: -253.3333333 + 177.7777780 = -75.5555553
177.7777780 + -26.66666667x + x2 = -75.5555553

Factor a perfect square on the left side:
(x + -13.33333334)(x + -13.33333334) = -75.5555553

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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