2(x^2-22x+10)=0

Simple and best practice solution for 2(x^2-22x+10)=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 2(x^2-22x+10)=0 equation: 


Simplifying
2(x2 + -22x + 10) = 0

Reorder the terms:
2(10 + -22x + x2) = 0
(10 * 2 + -22x * 2 + x2 * 2) = 0
(20 + -44x + 2x2) = 0

Solving
20 + -44x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(10 + -22x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(10 + -22x + x2)' equal to zero and attempt to solve:

Simplifying
10 + -22x + x2 = 0

Solving
10 + -22x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + -22x + -10 + x2 = 0 + -10

Reorder the terms:
10 + -10 + -22x + x2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -22x + x2 = 0 + -10
-22x + x2 = 0 + -10

Combine like terms: 0 + -10 = -10
-22x + x2 = -10

The x term is -22x.  Take half its coefficient (-11).
Square it (121) and add it to both sides.

Add '121' to each side of the equation.
-22x + 121 + x2 = -10 + 121

Reorder the terms:
121 + -22x + x2 = -10 + 121

Combine like terms: -10 + 121 = 111
121 + -22x + x2 = 111

Factor a perfect square on the left side:
(x + -11)(x + -11) = 111

Calculate the square root of the right side: 10.535653753

Break this problem into two subproblems by setting 
(x + -11) equal to 10.535653753 and -10.535653753.


Subproblem 1
x + -11 = 10.535653753

Simplifying
x + -11 = 10.535653753

Reorder the terms:
-11 + x = 10.535653753

Solving
-11 + x = 10.535653753

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + 11 + x = 10.535653753 + 11

Combine like terms: -11 + 11 = 0
0 + x = 10.535653753 + 11
x = 10.535653753 + 11

Combine like terms: 10.535653753 + 11 = 21.535653753
x = 21.535653753

Simplifying
x = 21.535653753


Subproblem 2
x + -11 = -10.535653753

Simplifying
x + -11 = -10.535653753

Reorder the terms:
-11 + x = -10.535653753

Solving
-11 + x = -10.535653753

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + 11 + x = -10.535653753 + 11

Combine like terms: -11 + 11 = 0
0 + x = -10.535653753 + 11
x = -10.535653753 + 11

Combine like terms: -10.535653753 + 11 = 0.464346247
x = 0.464346247

Simplifying
x = 0.464346247


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {21.535653753, 0.464346247}
Solution
x = {21.535653753, 0.464346247}

See similar equations:

| 4x+9-2(3-x)=7+5(2x-1) | | (2x-2)(6)=(14)(2x-4) | | -12x-50=x+119 | | 2x^2+11x+12=x+4 | | X+2=2(4x-3) | | x+1.3=2.9 | | 5x+11=4x | | Y+13=(x-2) | | -8=(-2)x+6 | | x+(x+1)=x^2-8 | | 1.6105=(1+r)5 | | 2x+(a-1)=(a+1)x | | 5x-78=48+12x | | 2=2n+1+n | | 8b+8+4b= | | 6y-2+8y-7= | | 6(3x+2)-8=9x-5 | | 3f+17=8f+32 | | -52-5x=32+x | | x-3=4.5 | | B-17.8=36 | | f(x)=x^2(3-x) | | Y+1=8+10x | | (-t^6-2t^3-7t)-(4t^6-2t^3)= | | -33+3x=5x+13 | | 10v-5= | | H=2t^2+16t+7 | | (w+2s)*(w^2-2ws+4s^2)= | | 7x-2(3*4x)=19 | | 3f+4(f-6)=-73 | | -2d+3=17+19d | | A=3b=34b-4a |

Equations solver categories