-3x^2+760x-11=

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Solution for -3x^2+760x-11= equation: 


Simplifying
-3x2 + 760x + -11 = 0

Reorder the terms:
-11 + 760x + -3x2 = 0

Solving
-11 + 760x + -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'.
3.666666667 + -253.3333333x + x2 = 0

Move the constant term to the right:

Add '-3.666666667' to each side of the equation.
3.666666667 + -253.3333333x + -3.666666667 + x2 = 0 + -3.666666667

Reorder the terms:
3.666666667 + -3.666666667 + -253.3333333x + x2 = 0 + -3.666666667

Combine like terms: 3.666666667 + -3.666666667 = 0.000000000
0.000000000 + -253.3333333x + x2 = 0 + -3.666666667
-253.3333333x + x2 = 0 + -3.666666667

Combine like terms: 0 + -3.666666667 = -3.666666667
-253.3333333x + x2 = -3.666666667

The x term is -253.3333333x.  Take half its coefficient (-126.6666667).
Square it (16044.44445) and add it to both sides.

Add '16044.44445' to each side of the equation.
-253.3333333x + 16044.44445 + x2 = -3.666666667 + 16044.44445

Reorder the terms:
16044.44445 + -253.3333333x + x2 = -3.666666667 + 16044.44445

Combine like terms: -3.666666667 + 16044.44445 = 16040.777783333
16044.44445 + -253.3333333x + x2 = 16040.777783333

Factor a perfect square on the left side:
(x + -126.6666667)(x + -126.6666667) = 16040.777783333

Calculate the square root of the right side: 126.652192177

Break this problem into two subproblems by setting 
(x + -126.6666667) equal to 126.652192177 and -126.652192177.


Subproblem 1
x + -126.6666667 = 126.652192177

Simplifying
x + -126.6666667 = 126.652192177

Reorder the terms:
-126.6666667 + x = 126.652192177

Solving
-126.6666667 + x = 126.652192177

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '126.6666667' to each side of the equation.
-126.6666667 + 126.6666667 + x = 126.652192177 + 126.6666667

Combine like terms: -126.6666667 + 126.6666667 = 0.0000000
0.0000000 + x = 126.652192177 + 126.6666667
x = 126.652192177 + 126.6666667

Combine like terms: 126.652192177 + 126.6666667 = 253.318858877
x = 253.318858877

Simplifying
x = 253.318858877


Subproblem 2
x + -126.6666667 = -126.652192177

Simplifying
x + -126.6666667 = -126.652192177

Reorder the terms:
-126.6666667 + x = -126.652192177

Solving
-126.6666667 + x = -126.652192177

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '126.6666667' to each side of the equation.
-126.6666667 + 126.6666667 + x = -126.652192177 + 126.6666667

Combine like terms: -126.6666667 + 126.6666667 = 0.0000000
0.0000000 + x = -126.652192177 + 126.6666667
x = -126.652192177 + 126.6666667

Combine like terms: -126.652192177 + 126.6666667 = 0.014474523
x = 0.014474523

Simplifying
x = 0.014474523


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {253.318858877, 0.014474523}

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