9X^2+5X-4.2=0

Simple and best practice solution for 9X^2+5X-4.2=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 9X^2+5X-4.2=0 equation: 


Simplifying
9X2 + 5X + -4.2 = 0

Reorder the terms:
-4.2 + 5X + 9X2 = 0

Solving
-4.2 + 5X + 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'.
-0.4666666667 + 0.5555555556X + X2 = 0

Move the constant term to the right:

Add '0.4666666667' to each side of the equation.
-0.4666666667 + 0.5555555556X + 0.4666666667 + X2 = 0 + 0.4666666667

Reorder the terms:
-0.4666666667 + 0.4666666667 + 0.5555555556X + X2 = 0 + 0.4666666667

Combine like terms: -0.4666666667 + 0.4666666667 = 0.0000000000
0.0000000000 + 0.5555555556X + X2 = 0 + 0.4666666667
0.5555555556X + X2 = 0 + 0.4666666667

Combine like terms: 0 + 0.4666666667 = 0.4666666667
0.5555555556X + X2 = 0.4666666667

The X term is 0.5555555556X.  Take half its coefficient (0.2777777778).
Square it (0.07716049384) and add it to both sides.

Add '0.07716049384' to each side of the equation.
0.5555555556X + 0.07716049384 + X2 = 0.4666666667 + 0.07716049384

Reorder the terms:
0.07716049384 + 0.5555555556X + X2 = 0.4666666667 + 0.07716049384

Combine like terms: 0.4666666667 + 0.07716049384 = 0.54382716054
0.07716049384 + 0.5555555556X + X2 = 0.54382716054

Factor a perfect square on the left side:
(X + 0.2777777778)(X + 0.2777777778) = 0.54382716054

Calculate the square root of the right side: 0.737446378

Break this problem into two subproblems by setting 
(X + 0.2777777778) equal to 0.737446378 and -0.737446378.


Subproblem 1
X + 0.2777777778 = 0.737446378

Simplifying
X + 0.2777777778 = 0.737446378

Reorder the terms:
0.2777777778 + X = 0.737446378

Solving
0.2777777778 + X = 0.737446378

Solving for variable 'X'.

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

Add '-0.2777777778' to each side of the equation.
0.2777777778 + -0.2777777778 + X = 0.737446378 + -0.2777777778

Combine like terms: 0.2777777778 + -0.2777777778 = 0.0000000000
0.0000000000 + X = 0.737446378 + -0.2777777778
X = 0.737446378 + -0.2777777778

Combine like terms: 0.737446378 + -0.2777777778 = 0.4596686002
X = 0.4596686002

Simplifying
X = 0.4596686002


Subproblem 2
X + 0.2777777778 = -0.737446378

Simplifying
X + 0.2777777778 = -0.737446378

Reorder the terms:
0.2777777778 + X = -0.737446378

Solving
0.2777777778 + X = -0.737446378

Solving for variable 'X'.

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

Add '-0.2777777778' to each side of the equation.
0.2777777778 + -0.2777777778 + X = -0.737446378 + -0.2777777778

Combine like terms: 0.2777777778 + -0.2777777778 = 0.0000000000
0.0000000000 + X = -0.737446378 + -0.2777777778
X = -0.737446378 + -0.2777777778

Combine like terms: -0.737446378 + -0.2777777778 = -1.0152241558
X = -1.0152241558

Simplifying
X = -1.0152241558


Solution
The solution to the problem is based on the solutions
from the subproblems.
X = {0.4596686002, -1.0152241558}

See similar equations:

| 4x=x^2+13x-5 | | 6.9+1.5n=3.15 | | (3x-5)=2 | | F+5.6=8.3 | | X+(X*0.07)=17.70 | | A+19=43 | | x^2-4=266 | | 14-9x=7(10+x) | | 5=0 | | Y-14.4=27.8 | | 2x+2-3=5+10 | | 14-9x=-8(10+c) | | -11n+7n+14n+-3n+-11n=8 | | K=11.2-36.7 | | -380-(-207)= | | 2.5x+3.87=1.37 | | 11.2-K=36.7 | | 4*P=68 | | 3-(-26)= | | 15x+4=8(10+3x)-2 | | -15x^2-18x+24=0 | | 9z-29=-41+7z | | -234+-766= | | 3-(-2x+5)=11-4c | | (5b-4)-2(2b+3)=-7 | | 10x-(-6x+6)=-24x+17 | | 98+-102= | | 5k^2+28k-12= | | -9x-34=56-c | | -3+1000= | | 2(3-4x)=1-(x+2) | | k=23.7-57.7 |

Equations solver categories