x^2-4.6x+2.1=0

Simple and best practice solution for x^2-4.6x+2.1=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^2-4.6x+2.1=0 equation: 


Simplifying
x2 + -4.6x + 2.1 = 0

Reorder the terms:
2.1 + -4.6x + x2 = 0

Solving
2.1 + -4.6x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-2.1' to each side of the equation.
2.1 + -4.6x + -2.1 + x2 = 0 + -2.1

Reorder the terms:
2.1 + -2.1 + -4.6x + x2 = 0 + -2.1

Combine like terms: 2.1 + -2.1 = 0.0
0.0 + -4.6x + x2 = 0 + -2.1
-4.6x + x2 = 0 + -2.1

Combine like terms: 0 + -2.1 = -2.1
-4.6x + x2 = -2.1

The x term is -4.6x.  Take half its coefficient (-2.3).
Square it (5.29) and add it to both sides.

Add '5.29' to each side of the equation.
-4.6x + 5.29 + x2 = -2.1 + 5.29

Reorder the terms:
5.29 + -4.6x + x2 = -2.1 + 5.29

Combine like terms: -2.1 + 5.29 = 3.19
5.29 + -4.6x + x2 = 3.19

Factor a perfect square on the left side:
(x + -2.3)(x + -2.3) = 3.19

Calculate the square root of the right side: 1.78605711

Break this problem into two subproblems by setting 
(x + -2.3) equal to 1.78605711 and -1.78605711.


Subproblem 1
x + -2.3 = 1.78605711

Simplifying
x + -2.3 = 1.78605711

Reorder the terms:
-2.3 + x = 1.78605711

Solving
-2.3 + x = 1.78605711

Solving for variable 'x'.

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

Add '2.3' to each side of the equation.
-2.3 + 2.3 + x = 1.78605711 + 2.3

Combine like terms: -2.3 + 2.3 = 0.0
0.0 + x = 1.78605711 + 2.3
x = 1.78605711 + 2.3

Combine like terms: 1.78605711 + 2.3 = 4.08605711
x = 4.08605711

Simplifying
x = 4.08605711


Subproblem 2
x + -2.3 = -1.78605711

Simplifying
x + -2.3 = -1.78605711

Reorder the terms:
-2.3 + x = -1.78605711

Solving
-2.3 + x = -1.78605711

Solving for variable 'x'.

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

Add '2.3' to each side of the equation.
-2.3 + 2.3 + x = -1.78605711 + 2.3

Combine like terms: -2.3 + 2.3 = 0.0
0.0 + x = -1.78605711 + 2.3
x = -1.78605711 + 2.3

Combine like terms: -1.78605711 + 2.3 = 0.51394289
x = 0.51394289

Simplifying
x = 0.51394289


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {4.08605711, 0.51394289}

See similar equations:

| 142-7x=20x+16 | | y(y+1)*2(y-2)=0 | | P^2=-1-2p | | 8-7a=3a+9 | | 5y+2(3y-1)=3y-(y+2) | | 7*-7=2*-7-35 | | 5y+2(3y-1)=1y-(y+2) | | y+a=bfory | | 5x=10+y | | x+63=60 | | 7*7=2*7-35 | | 5y+2(3y-1)=5y-(y+2) | | Y(y+1)2(y-2)=0 | | 7*5=2*5-35 | | 13x+7=90 | | 5x+15=7x-5 | | ez-2y=3zforx | | 9=m+9 | | 3x-18+2=5x-6 | | 31x+6=32x+2 | | 2x-1=9x-25 | | 10.4=4(Y-4.6) | | 7.2x-6+x-1.5= | | 15y+1=xforY | | c=24.50t+9.50 | | Y=2x=5 | | 0.8x+1.3=2.5x+1.3 | | x+103=95 | | w-3=34 | | 3x^2-14x-16=0 | | 4+5x=2+4x | | 17=-2(W-4) |

Equations solver categories