2x^2-4x+4=3

Simple and best practice solution for 2x^2-4x+4=3 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 2x^2-4x+4=3 equation:


Simplifying
2x2 + -4x + 4 = 3

Reorder the terms:
4 + -4x + 2x2 = 3

Solving
4 + -4x + 2x2 = 3

Solving for variable 'x'.

Reorder the terms:
4 + -3 + -4x + 2x2 = 3 + -3

Combine like terms: 4 + -3 = 1
1 + -4x + 2x2 = 3 + -3

Combine like terms: 3 + -3 = 0
1 + -4x + 2x2 = 0

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

Divide each side by '2'.
0.5 + -2x + x2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -2x + -0.5 + x2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + -2x + x2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -2x + x2 = 0 + -0.5
-2x + x2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-2x + x2 = -0.5

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -0.5 + 1

Reorder the terms:
1 + -2x + x2 = -0.5 + 1

Combine like terms: -0.5 + 1 = 0.5
1 + -2x + x2 = 0.5

Factor a perfect square on the left side:
(x + -1)(x + -1) = 0.5

Calculate the square root of the right side: 0.707106781

Break this problem into two subproblems by setting 
(x + -1) equal to 0.707106781 and -0.707106781.

Subproblem 1

x + -1 = 0.707106781 Simplifying x + -1 = 0.707106781 Reorder the terms: -1 + x = 0.707106781 Solving -1 + x = 0.707106781 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = 0.707106781 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0.707106781 + 1 x = 0.707106781 + 1 Combine like terms: 0.707106781 + 1 = 1.707106781 x = 1.707106781 Simplifying x = 1.707106781

Subproblem 2

x + -1 = -0.707106781 Simplifying x + -1 = -0.707106781 Reorder the terms: -1 + x = -0.707106781 Solving -1 + x = -0.707106781 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = -0.707106781 + 1 Combine like terms: -1 + 1 = 0 0 + x = -0.707106781 + 1 x = -0.707106781 + 1 Combine like terms: -0.707106781 + 1 = 0.292893219 x = 0.292893219 Simplifying x = 0.292893219

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.707106781, 0.292893219}

See similar equations:

| 66.6666666667h-9=6-66.6666666667h | | 3w-21=15+2w | | -6(4y)-3+4(5y+5)= | | -7(-x+2)+10(-x)+3(-5x-3)+23= | | 6m+8-2m=32 | | 11-42=4(x-1)-7 | | -p+4(4p-3)+6= | | x-x^2+3=7 | | -4(2y-3)+7y=-16 | | -4(2y-3)+7y=16 | | -492y-30+7y=16 | | 3x=-x^2+8 | | 8k+2(5k-3)=7k-28 | | 6n+-15=4n+76 | | (6a-2)+(3a+8)= | | -7x+4y=-28 | | =3+(n-1) | | 2x^2-4x-4-8=3 | | 31x-2=4x+45 | | 5y-5+y+45=8y+40-6y | | 5(x-2)+19=4(x+4) | | 5(z+7)=9+3z | | 14=-1-5h | | 4a-5=3m+7 | | 2=3x+7 | | 7-8n+4n=16-97 | | -53+10y+4=4(4y-2)-5 | | 11=7-2k | | 7(c-2)+7=2+c-9 | | -10+4k=k-2k | | 5x-3y-15=0 | | 4n-8n=18 |

Equations solver categories