3x^2-4x+3=1

Simple and best practice solution for 3x^2-4x+3=1 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 3x^2-4x+3=1 equation: 


Simplifying
3x2 + -4x + 3 = 1

Reorder the terms:
3 + -4x + 3x2 = 1

Solving
3 + -4x + 3x2 = 1

Solving for variable 'x'.

Reorder the terms:
3 + -1 + -4x + 3x2 = 1 + -1

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

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

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

Divide each side by '3'.
0.6666666667 + -1.333333333x + x2 = 0

Move the constant term to the right:

Add '-0.6666666667' to each side of the equation.
0.6666666667 + -1.333333333x + -0.6666666667 + x2 = 0 + -0.6666666667

Reorder the terms:
0.6666666667 + -0.6666666667 + -1.333333333x + x2 = 0 + -0.6666666667

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
0.0000000000 + -1.333333333x + x2 = 0 + -0.6666666667
-1.333333333x + x2 = 0 + -0.6666666667

Combine like terms: 0 + -0.6666666667 = -0.6666666667
-1.333333333x + x2 = -0.6666666667

The x term is -1.333333333x.  Take half its coefficient (-0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
-1.333333333x + 0.4444444442 + x2 = -0.6666666667 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333x + x2 = -0.6666666667 + 0.4444444442

Combine like terms: -0.6666666667 + 0.4444444442 = -0.2222222225
0.4444444442 + -1.333333333x + x2 = -0.2222222225

Factor a perfect square on the left side:
(x + -0.6666666665)(x + -0.6666666665) = -0.2222222225

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 3(x+1)+1+2x=4x+4+x | | -1=3x^2-4x+3 | | f(2)=5x^4-2x+8 | | 2/5b=750 | | f(1)=5x^4-2x+8 | | 2/10b=750 | | 2x^2-3x-5=10 | | f(x)=5x^4-2x+8 | | 12x^2+68+24=0 | | 2t=2 | | f(x)=5x^4-2x-8 | | -9y+4y=13-4y+4y | | X*x*x=88 | | 2X-3COSX=0 | | 1/4x+1/4=8 | | 1/4x+1/4=4 | | 256=x^2+12x | | 20+80+20x=40+80+20y | | -37=-7+10x | | 7(k-3)=3-5 | | 3y^2-x^2=25 | | -5a+4+6a=12-30 | | y^2-8y-24=0 | | -35=-2a-1 | | -5n-9=16 | | 2x+(x+3)=47 | | 9x+2y+3z=0 | | 7x=8.2 | | 16x^2+28x+52=0 | | 16m=7m+72 | | -(2-x)-3(6+8x)-7x= | | 16x^2+28+52=0 |

Equations solver categories