2(2x+1)=x^2

Simple and best practice solution for 2(2x+1)=x^2 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+1)=x^2 equation: 


Simplifying
2(2x + 1) = x2

Reorder the terms:
2(1 + 2x) = x2
(1 * 2 + 2x * 2) = x2
(2 + 4x) = x2

Solving
2 + 4x = x2

Solving for variable 'x'.

Combine like terms: x2 + -1x2 = 0
2 + 4x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
-2 + -4x + x2 = 0

Move the constant term to the right:

Add '2' to each side of the equation.
-2 + -4x + 2 + x2 = 0 + 2

Reorder the terms:
-2 + 2 + -4x + x2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -4x + x2 = 0 + 2
-4x + x2 = 0 + 2

Combine like terms: 0 + 2 = 2
-4x + x2 = 2

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = 2 + 4

Reorder the terms:
4 + -4x + x2 = 2 + 4

Combine like terms: 2 + 4 = 6
4 + -4x + x2 = 6

Factor a perfect square on the left side:
(x + -2)(x + -2) = 6

Calculate the square root of the right side: 2.449489743

Break this problem into two subproblems by setting 
(x + -2) equal to 2.449489743 and -2.449489743.


Subproblem 1
x + -2 = 2.449489743

Simplifying
x + -2 = 2.449489743

Reorder the terms:
-2 + x = 2.449489743

Solving
-2 + x = 2.449489743

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + x = 2.449489743 + 2

Combine like terms: -2 + 2 = 0
0 + x = 2.449489743 + 2
x = 2.449489743 + 2

Combine like terms: 2.449489743 + 2 = 4.449489743
x = 4.449489743

Simplifying
x = 4.449489743


Subproblem 2
x + -2 = -2.449489743

Simplifying
x + -2 = -2.449489743

Reorder the terms:
-2 + x = -2.449489743

Solving
-2 + x = -2.449489743

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + x = -2.449489743 + 2

Combine like terms: -2 + 2 = 0
0 + x = -2.449489743 + 2
x = -2.449489743 + 2

Combine like terms: -2.449489743 + 2 = -0.449489743
x = -0.449489743

Simplifying
x = -0.449489743


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {4.449489743, -0.449489743}

See similar equations:

| 2(x^2)y-18x=0 | | 4x-3(7-3x)=18 | | x*4x= | | 3(z+1)+4(z-3)=5 | | 4(n+1)=2(11-n) | | -15r-8=37 | | 7x-13=36 | | 2x+7=5x-12 | | 3s^2-12s+9= | | 15x^2+x=14(3*x-1) | | 8x^2+26x+14=0 | | 7[9-7(8-C)]-9=9[7(9C-8)+6]-82 | | 7k-18=-116 | | 3x-12=-9 | | 6x^2-1=25(x+2) | | x^2-21x+104=0 | | -u/7+2=-13 | | 11-k/2=60 | | 5x-4[(9y+6)5-9]=3y-18x+8(3x-5) | | 3a+(4+7a)= | | 7v^2-12v+6=0 | | 5m-5=-5-2m-m | | w/4+7=22 | | x-(x*0.35)=200000 | | -3x+2/3=4/3 | | -15+3x=18 | | x=-18/19 | | 7t^2-20t=3 | | 7t^2-20t=13 | | x=3+4y | | 2x-8=y | | -2v-3=25 |

Equations solver categories