3x^2-7x+80=10

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Solution for 3x^2-7x+80=10 equation: 


Simplifying
3x2 + -7x + 80 = 10

Reorder the terms:
80 + -7x + 3x2 = 10

Solving
80 + -7x + 3x2 = 10

Solving for variable 'x'.

Reorder the terms:
80 + -10 + -7x + 3x2 = 10 + -10

Combine like terms: 80 + -10 = 70
70 + -7x + 3x2 = 10 + -10

Combine like terms: 10 + -10 = 0
70 + -7x + 3x2 = 0

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

Divide each side by '3'.
23.33333333 + -2.333333333x + x2 = 0

Move the constant term to the right:

Add '-23.33333333' to each side of the equation.
23.33333333 + -2.333333333x + -23.33333333 + x2 = 0 + -23.33333333

Reorder the terms:
23.33333333 + -23.33333333 + -2.333333333x + x2 = 0 + -23.33333333

Combine like terms: 23.33333333 + -23.33333333 = 0.00000000
0.00000000 + -2.333333333x + x2 = 0 + -23.33333333
-2.333333333x + x2 = 0 + -23.33333333

Combine like terms: 0 + -23.33333333 = -23.33333333
-2.333333333x + x2 = -23.33333333

The x term is -2.333333333x.  Take half its coefficient (-1.166666667).
Square it (1.361111112) and add it to both sides.

Add '1.361111112' to each side of the equation.
-2.333333333x + 1.361111112 + x2 = -23.33333333 + 1.361111112

Reorder the terms:
1.361111112 + -2.333333333x + x2 = -23.33333333 + 1.361111112

Combine like terms: -23.33333333 + 1.361111112 = -21.972222218
1.361111112 + -2.333333333x + x2 = -21.972222218

Factor a perfect square on the left side:
(x + -1.166666667)(x + -1.166666667) = -21.972222218

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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