3X+5-9X^2=0

Simple and best practice solution for 3X+5-9X^2=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 3X+5-9X^2=0 equation: 


Simplifying
3X + 5 + -9X2 = 0

Reorder the terms:
5 + 3X + -9X2 = 0

Solving
5 + 3X + -9X2 = 0

Solving for variable 'X'.

Begin completing the square.  Divide all terms by
-9 the coefficient of the squared term: 

Divide each side by '-9'.
-0.5555555556 + -0.3333333333X + X2 = 0

Move the constant term to the right:

Add '0.5555555556' to each side of the equation.
-0.5555555556 + -0.3333333333X + 0.5555555556 + X2 = 0 + 0.5555555556

Reorder the terms:
-0.5555555556 + 0.5555555556 + -0.3333333333X + X2 = 0 + 0.5555555556

Combine like terms: -0.5555555556 + 0.5555555556 = 0.0000000000
0.0000000000 + -0.3333333333X + X2 = 0 + 0.5555555556
-0.3333333333X + X2 = 0 + 0.5555555556

Combine like terms: 0 + 0.5555555556 = 0.5555555556
-0.3333333333X + X2 = 0.5555555556

The X term is -0.3333333333X.  Take half its coefficient (-0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
-0.3333333333X + 0.02777777779 + X2 = 0.5555555556 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333X + X2 = 0.5555555556 + 0.02777777779

Combine like terms: 0.5555555556 + 0.02777777779 = 0.58333333339
0.02777777779 + -0.3333333333X + X2 = 0.58333333339

Factor a perfect square on the left side:
(X + -0.1666666667)(X + -0.1666666667) = 0.58333333339

Calculate the square root of the right side: 0.763762616

Break this problem into two subproblems by setting 
(X + -0.1666666667) equal to 0.763762616 and -0.763762616.


Subproblem 1
X + -0.1666666667 = 0.763762616

Simplifying
X + -0.1666666667 = 0.763762616

Reorder the terms:
-0.1666666667 + X = 0.763762616

Solving
-0.1666666667 + X = 0.763762616

Solving for variable 'X'.

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

Add '0.1666666667' to each side of the equation.
-0.1666666667 + 0.1666666667 + X = 0.763762616 + 0.1666666667

Combine like terms: -0.1666666667 + 0.1666666667 = 0.0000000000
0.0000000000 + X = 0.763762616 + 0.1666666667
X = 0.763762616 + 0.1666666667

Combine like terms: 0.763762616 + 0.1666666667 = 0.9304292827
X = 0.9304292827

Simplifying
X = 0.9304292827


Subproblem 2
X + -0.1666666667 = -0.763762616

Simplifying
X + -0.1666666667 = -0.763762616

Reorder the terms:
-0.1666666667 + X = -0.763762616

Solving
-0.1666666667 + X = -0.763762616

Solving for variable 'X'.

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

Add '0.1666666667' to each side of the equation.
-0.1666666667 + 0.1666666667 + X = -0.763762616 + 0.1666666667

Combine like terms: -0.1666666667 + 0.1666666667 = 0.0000000000
0.0000000000 + X = -0.763762616 + 0.1666666667
X = -0.763762616 + 0.1666666667

Combine like terms: -0.763762616 + 0.1666666667 = -0.5970959493
X = -0.5970959493

Simplifying
X = -0.5970959493


Solution
The solution to the problem is based on the solutions
from the subproblems.
X = {0.9304292827, -0.5970959493}

See similar equations:

| 80(20+x)=360 | | 9(x)-20=11 | | 6(x)-13=34 | | 2(x)+17=3 | | 5(x)+6=27 | | 5x^2y+35xy-55y=0 | | 4(x)+3=12 | | -5u/4=-15 | | -11+5/6=-1 | | -4/7y=28 | | -35=7/9u | | -35=79u | | 10/7=-2v | | 30=-5/7w | | 9t^2-6t-1=0 | | 45=(2x+10)(X+1) | | 27u^2+21u-20=0 | | .35x^2-32.9x+975=457 | | 7y^2-y+6=0 | | -3x^4+5x^3-2x+3=0 | | x+.60x=24 | | x^2-5.3x=0 | | 320=980(1-x) | | v(v-8)=9 | | 76.4n+92.7=164.1n | | 5/x=20/28 | | X*2+2-164=0 | | -16x+1=-65x+36 | | 10X=X | | 9y^2+36y=0 | | x+.22x=43 | | 2X+118=X |

Equations solver categories