-x^2+740x-230=0

Simple and best practice solution for -x^2+740x-230=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for -x^2+740x-230=0 equation: 


Simplifying
-1x2 + 740x + -230 = 0

Reorder the terms:
-230 + 740x + -1x2 = 0

Solving
-230 + 740x + -1x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
230 + -740x + x2 = 0

Move the constant term to the right:

Add '-230' to each side of the equation.
230 + -740x + -230 + x2 = 0 + -230

Reorder the terms:
230 + -230 + -740x + x2 = 0 + -230

Combine like terms: 230 + -230 = 0
0 + -740x + x2 = 0 + -230
-740x + x2 = 0 + -230

Combine like terms: 0 + -230 = -230
-740x + x2 = -230

The x term is -740x.  Take half its coefficient (-370).
Square it (136900) and add it to both sides.

Add '136900' to each side of the equation.
-740x + 136900 + x2 = -230 + 136900

Reorder the terms:
136900 + -740x + x2 = -230 + 136900

Combine like terms: -230 + 136900 = 136670
136900 + -740x + x2 = 136670

Factor a perfect square on the left side:
(x + -370)(x + -370) = 136670

Calculate the square root of the right side: 369.689058534

Break this problem into two subproblems by setting 
(x + -370) equal to 369.689058534 and -369.689058534.


Subproblem 1
x + -370 = 369.689058534

Simplifying
x + -370 = 369.689058534

Reorder the terms:
-370 + x = 369.689058534

Solving
-370 + x = 369.689058534

Solving for variable 'x'.

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

Add '370' to each side of the equation.
-370 + 370 + x = 369.689058534 + 370

Combine like terms: -370 + 370 = 0
0 + x = 369.689058534 + 370
x = 369.689058534 + 370

Combine like terms: 369.689058534 + 370 = 739.689058534
x = 739.689058534

Simplifying
x = 739.689058534


Subproblem 2
x + -370 = -369.689058534

Simplifying
x + -370 = -369.689058534

Reorder the terms:
-370 + x = -369.689058534

Solving
-370 + x = -369.689058534

Solving for variable 'x'.

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

Add '370' to each side of the equation.
-370 + 370 + x = -369.689058534 + 370

Combine like terms: -370 + 370 = 0
0 + x = -369.689058534 + 370
x = -369.689058534 + 370

Combine like terms: -369.689058534 + 370 = 0.310941466
x = 0.310941466

Simplifying
x = 0.310941466


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {739.689058534, 0.310941466}

See similar equations:

| x^2-740x+230=0 | | y-55=-1.4(x-5) | | y=5x/x+2 | | (((4-4x)/(x^2+2x-3))+x)=0 | | 8/5-1/5x | | ((4-4x)/(x^2+2x-3))+x=0 | | 120=(2x-1)*y | | 120=2x-1*y | | (x^2-9)(6x+1)=0 | | -3/4n+3n=3/2n-13/3 | | -500.00+5.00x=600.00 | | -500.00+5.00x=750.00 | | -6(x-1)=18 | | 0=9x^2-25y^2 | | a=9x^2-25y^2 | | a*x-(x+133)=1.77*52 | | Ax-(x+133)=1.77*52 | | y+13=8/9(x-3) | | y+13=.8889(x-3) | | 2abs(4x-5)-2=-4 | | -600.00+40.00x=0.00 | | 6y-3-8=10 | | y^5+5y= | | 3y^6-2y^5+15y-10= | | 3y(y^5+5y)+(y^5+5)= | | 3x-5=18x | | 125a^3+216= | | 6y^3+3y^2-2y+1= | | y/y | | 24x^3+4x^2-4x= | | 5v^3+6v^2+35v+42= | | 5p-p= |

Equations solver categories