2x^2-4x+5=2

Simple and best practice solution for 2x^2-4x+5=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 2x^2-4x+5=2 equation:


Simplifying
2x2 + -4x + 5 = 2

Reorder the terms:
5 + -4x + 2x2 = 2

Solving
5 + -4x + 2x2 = 2

Solving for variable 'x'.

Reorder the terms:
5 + -2 + -4x + 2x2 = 2 + -2

Combine like terms: 5 + -2 = 3
3 + -4x + 2x2 = 2 + -2

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

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

Divide each side by '2'.
1.5 + -2x + x2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + -2x + -1.5 + x2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + -2x + x2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -2x + x2 = 0 + -1.5
-2x + x2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
-2x + x2 = -1.5

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 = -1.5 + 1

Reorder the terms:
1 + -2x + x2 = -1.5 + 1

Combine like terms: -1.5 + 1 = -0.5
1 + -2x + x2 = -0.5

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

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 3+12x=91+x | | 34y+34y=69 | | 4x+7=2-3x | | 4x+8=34 | | -4x^3+6x^2-5x-2= | | ln(x+1)-lnx+ln(x^2)=1 | | (6x^4+5x^3-4)-(7x^2-8x+6)= | | (2y^3+4y)-(-2y^3-5y+4)= | | -3(x-1)-6=0 | | 2(4a-3)-(2a+5)=10 | | (2z^7-6z^3+8)+(8z^6+2z^3-6z)= | | 11ab+3b^2-6ab+6b^2-13= | | x^6-8x^5+7x^6-8x^5+8= | | 4x+6=-30 | | 5x+6=-109 | | 2x^3-15x-7=0 | | w^2+3w-18= | | 164-7x=38x+19 | | 13-7x=85-21x | | 3n-2=n+14 | | 5x=4x-3x+14 | | -3,2n+4,8=5 | | x+x^3=20 | | 2x-5=x+6 | | (X^2-6)=45 | | 35-2x=7x+21 | | 4-3i=x+12yi | | 7x-4y+8.04-2.7x=5y-0.8x+2 | | 3(2x-15)=4(x+1) | | 3(2x-15)=4(4x+1) | | 2x+y-x+4yi=-1+13i | | 3(2x-15)=4(4+1) |

Equations solver categories