3x^2-2x+4=0

Simple and best practice solution for 3x^2-2x+4=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 3x^2-2x+4=0 equation:


Simplifying
3x2 + -2x + 4 = 0

Reorder the terms:
4 + -2x + 3x2 = 0

Solving
4 + -2x + 3x2 = 0

Solving for variable 'x'.

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

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

Move the constant term to the right:

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

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

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + -0.6666666667x + x2 = 0 + -1.333333333
-0.6666666667x + x2 = 0 + -1.333333333

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

The x term is -0.6666666667x.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667x + 0.1111111112 + x2 = -1.333333333 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667x + x2 = -1.333333333 + 0.1111111112

Combine like terms: -1.333333333 + 0.1111111112 = -1.2222222218
0.1111111112 + -0.6666666667x + x2 = -1.2222222218

Factor a perfect square on the left side:
(x + -0.3333333334)(x + -0.3333333334) = -1.2222222218

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 7x-17=-3 | | 15x+54-39x=-90 | | -3x=252 | | 23x+37-45x=-139 | | 3.4x-0.44=0.68-2.2x | | 1+9v+6v+7= | | q-5=17 | | 59x-21-44x=-51 | | 8x+11= | | 3x+9=x+21 | | 7b+3b= | | 13x-41+17x=229 | | 5x^2-4x+1=3x+4 | | 42+x=4x | | 48x-29-13x=-134 | | 2-(3x-4)=2x-9 | | 17x-32+24x=132 | | 8x-17=47 | | 45x+22-22x=229 | | 5(2x+3)=26 | | 2m-6m=24 | | 3z+5=2z | | 2(t+5)=6 | | 10=m+3 | | 2x+118= | | 5-3x+2x=-10 | | 2x+7=11-2x | | -103=6x+17 | | (x+9)(x-9)=0 | | 34c-7= | | (X+6)3=-2(2x+5) | | 24=2x-9 |

Equations solver categories