2.2x^2-1.6x+8=1.6x^2+2.2x+9

Simple and best practice solution for 2.2x^2-1.6x+8=1.6x^2+2.2x+9 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 2.2x^2-1.6x+8=1.6x^2+2.2x+9 equation: 


Simplifying
2.2x2 + -1.6x + 8 = 1.6x2 + 2.2x + 9

Reorder the terms:
8 + -1.6x + 2.2x2 = 1.6x2 + 2.2x + 9

Reorder the terms:
8 + -1.6x + 2.2x2 = 9 + 2.2x + 1.6x2

Solving
8 + -1.6x + 2.2x2 = 9 + 2.2x + 1.6x2

Solving for variable 'x'.

Reorder the terms:
8 + -9 + -1.6x + -2.2x + 2.2x2 + -1.6x2 = 9 + 2.2x + 1.6x2 + -9 + -2.2x + -1.6x2

Combine like terms: 8 + -9 = -1
-1 + -1.6x + -2.2x + 2.2x2 + -1.6x2 = 9 + 2.2x + 1.6x2 + -9 + -2.2x + -1.6x2

Combine like terms: -1.6x + -2.2x = -3.8x
-1 + -3.8x + 2.2x2 + -1.6x2 = 9 + 2.2x + 1.6x2 + -9 + -2.2x + -1.6x2

Combine like terms: 2.2x2 + -1.6x2 = 0.6x2
-1 + -3.8x + 0.6x2 = 9 + 2.2x + 1.6x2 + -9 + -2.2x + -1.6x2

Reorder the terms:
-1 + -3.8x + 0.6x2 = 9 + -9 + 2.2x + -2.2x + 1.6x2 + -1.6x2

Combine like terms: 9 + -9 = 0
-1 + -3.8x + 0.6x2 = 0 + 2.2x + -2.2x + 1.6x2 + -1.6x2
-1 + -3.8x + 0.6x2 = 2.2x + -2.2x + 1.6x2 + -1.6x2

Combine like terms: 2.2x + -2.2x = 0.0
-1 + -3.8x + 0.6x2 = 0.0 + 1.6x2 + -1.6x2
-1 + -3.8x + 0.6x2 = 1.6x2 + -1.6x2

Combine like terms: 1.6x2 + -1.6x2 = 0.0
-1 + -3.8x + 0.6x2 = 0.0

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

Divide each side by '0.6'.
-1.666666667 + -6.333333333x + x2 = 0

Move the constant term to the right:

Add '1.666666667' to each side of the equation.
-1.666666667 + -6.333333333x + 1.666666667 + x2 = 0 + 1.666666667

Reorder the terms:
-1.666666667 + 1.666666667 + -6.333333333x + x2 = 0 + 1.666666667

Combine like terms: -1.666666667 + 1.666666667 = 0.000000000
0.000000000 + -6.333333333x + x2 = 0 + 1.666666667
-6.333333333x + x2 = 0 + 1.666666667

Combine like terms: 0 + 1.666666667 = 1.666666667
-6.333333333x + x2 = 1.666666667

The x term is -6.333333333x.  Take half its coefficient (-3.166666667).
Square it (10.02777778) and add it to both sides.

Add '10.02777778' to each side of the equation.
-6.333333333x + 10.02777778 + x2 = 1.666666667 + 10.02777778

Reorder the terms:
10.02777778 + -6.333333333x + x2 = 1.666666667 + 10.02777778

Combine like terms: 1.666666667 + 10.02777778 = 11.694444447
10.02777778 + -6.333333333x + x2 = 11.694444447

Factor a perfect square on the left side:
(x + -3.166666667)(x + -3.166666667) = 11.694444447

Calculate the square root of the right side: 3.419714088

Break this problem into two subproblems by setting 
(x + -3.166666667) equal to 3.419714088 and -3.419714088.


Subproblem 1
x + -3.166666667 = 3.419714088

Simplifying
x + -3.166666667 = 3.419714088

Reorder the terms:
-3.166666667 + x = 3.419714088

Solving
-3.166666667 + x = 3.419714088

Solving for variable 'x'.

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

Add '3.166666667' to each side of the equation.
-3.166666667 + 3.166666667 + x = 3.419714088 + 3.166666667

Combine like terms: -3.166666667 + 3.166666667 = 0.000000000
0.000000000 + x = 3.419714088 + 3.166666667
x = 3.419714088 + 3.166666667

Combine like terms: 3.419714088 + 3.166666667 = 6.586380755
x = 6.586380755

Simplifying
x = 6.586380755


Subproblem 2
x + -3.166666667 = -3.419714088

Simplifying
x + -3.166666667 = -3.419714088

Reorder the terms:
-3.166666667 + x = -3.419714088

Solving
-3.166666667 + x = -3.419714088

Solving for variable 'x'.

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

Add '3.166666667' to each side of the equation.
-3.166666667 + 3.166666667 + x = -3.419714088 + 3.166666667

Combine like terms: -3.166666667 + 3.166666667 = 0.000000000
0.000000000 + x = -3.419714088 + 3.166666667
x = -3.419714088 + 3.166666667

Combine like terms: -3.419714088 + 3.166666667 = -0.253047421
x = -0.253047421

Simplifying
x = -0.253047421


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {6.586380755, -0.253047421}

See similar equations:

| 4x-y+x+y=8+22 | | -3x-(-5)=-2 | | A=1200(1+0.15*2) | | 1/x=0.28 | | w^2=78 | | -1k= | | (14y-4)+(3x+11)+(x+21)=180 | | 4x+2x+3x=279 | | .75(.25x+8)-(.5x+2)=.23(4-x)-.25 | | c^2=64/25 | | 187=19+7(13+p) | | -8=4q-20+2q | | -27x-1=4 | | (-8p+7)-(2p-4)= | | 540-3x-100=17 | | -c/3-5=17 | | 4p+2p-1=30+7 | | 7+2x=50 | | 14=2y+1 | | x-29=-19 | | 0.09xX=107.31 | | 14y+4x+28=180 | | v^2=20 | | 9p+1=1+9p | | 5-2i/2i | | 27a+24=-5 | | 5y=2y+10 | | 6x-12y=50 | | 0.4=r+4.6 | | 12x-11y=-23 | | 5x+13y=8 | | 10x+12=14x-16 |

Equations solver categories