-.33x^2+31.6x+2398.33=0

Simple and best practice solution for -.33x^2+31.6x+2398.33=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 -.33x^2+31.6x+2398.33=0 equation: 


Simplifying
-0.33x2 + 31.6x + 2398.33 = 0

Reorder the terms:
2398.33 + 31.6x + -0.33x2 = 0

Solving
2398.33 + 31.6x + -0.33x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-0.33 the coefficient of the squared term: 

Divide each side by '-0.33'.
-7267.666667 + -95.75757576x + x2 = 0

Move the constant term to the right:

Add '7267.666667' to each side of the equation.
-7267.666667 + -95.75757576x + 7267.666667 + x2 = 0 + 7267.666667

Reorder the terms:
-7267.666667 + 7267.666667 + -95.75757576x + x2 = 0 + 7267.666667

Combine like terms: -7267.666667 + 7267.666667 = 0.000000
0.000000 + -95.75757576x + x2 = 0 + 7267.666667
-95.75757576x + x2 = 0 + 7267.666667

Combine like terms: 0 + 7267.666667 = 7267.666667
-95.75757576x + x2 = 7267.666667

The x term is -95.75757576x.  Take half its coefficient (-47.87878788).
Square it (2292.378329) and add it to both sides.

Add '2292.378329' to each side of the equation.
-95.75757576x + 2292.378329 + x2 = 7267.666667 + 2292.378329

Reorder the terms:
2292.378329 + -95.75757576x + x2 = 7267.666667 + 2292.378329

Combine like terms: 7267.666667 + 2292.378329 = 9560.044996
2292.378329 + -95.75757576x + x2 = 9560.044996

Factor a perfect square on the left side:
(x + -47.87878788)(x + -47.87878788) = 9560.044996

Calculate the square root of the right side: 97.775482591

Break this problem into two subproblems by setting 
(x + -47.87878788) equal to 97.775482591 and -97.775482591.


Subproblem 1
x + -47.87878788 = 97.775482591

Simplifying
x + -47.87878788 = 97.775482591

Reorder the terms:
-47.87878788 + x = 97.775482591

Solving
-47.87878788 + x = 97.775482591

Solving for variable 'x'.

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

Add '47.87878788' to each side of the equation.
-47.87878788 + 47.87878788 + x = 97.775482591 + 47.87878788

Combine like terms: -47.87878788 + 47.87878788 = 0.00000000
0.00000000 + x = 97.775482591 + 47.87878788
x = 97.775482591 + 47.87878788

Combine like terms: 97.775482591 + 47.87878788 = 145.654270471
x = 145.654270471

Simplifying
x = 145.654270471


Subproblem 2
x + -47.87878788 = -97.775482591

Simplifying
x + -47.87878788 = -97.775482591

Reorder the terms:
-47.87878788 + x = -97.775482591

Solving
-47.87878788 + x = -97.775482591

Solving for variable 'x'.

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

Add '47.87878788' to each side of the equation.
-47.87878788 + 47.87878788 + x = -97.775482591 + 47.87878788

Combine like terms: -47.87878788 + 47.87878788 = 0.00000000
0.00000000 + x = -97.775482591 + 47.87878788
x = -97.775482591 + 47.87878788

Combine like terms: -97.775482591 + 47.87878788 = -49.896694711
x = -49.896694711

Simplifying
x = -49.896694711


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {145.654270471, -49.896694711}

See similar equations:

| (y-1.7x)*x=60 | | .33x^2+31.6x+2398.33=0 | | 6(3z-1)-5(z+2)=3(z-1) | | 125/3*300 | | 6y+2=9y+3 | | r-732/(-15)=-12 | | 700+25x=1092.38 | | 11.6+0.95x=14.45 | | (15-1.7)*x=60 | | 7x-2+4y=36 | | (y-1.7)*x=60 | | (10-1.7)*x=60 | | 3(x+4)=-5x-4 | | 9(8x+2)=6(8x+5) | | 7(6+x)=5(x+2) | | x-45=51/3 | | 3x(10+5y)-15y=30 | | (10x^2y^2)/(6xy^3) | | 45-20x-25x^2=0 | | 9(9x+9)=4 | | -7v-4(8v+6)=-336 | | 1-7y+5=2y+10-7y | | 0.5t=30 | | 2(r/2)+2(0.05r)= | | 54=-6(1-5v) | | 2(r/2)+2(0.09r)= | | -185+35x=9 | | -24=-5(7f+3) | | 27x-26=974 | | 2x^2+17x=6x+21 | | 2x^2+14x=5x+5 | | Log^4(-1-4x)=1 |

Equations solver categories