3x^2-4x+10=0

Simple and best practice solution for 3x^2-4x+10=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^2-4x+10=0 equation:


Simplifying
3x2 + -4x + 10 = 0

Reorder the terms:
10 + -4x + 3x2 = 0

Solving
10 + -4x + 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'.
3.333333333 + -1.333333333x + x2 = 0

Move the constant term to the right:

Add '-3.333333333' to each side of the equation.
3.333333333 + -1.333333333x + -3.333333333 + x2 = 0 + -3.333333333

Reorder the terms:
3.333333333 + -3.333333333 + -1.333333333x + x2 = 0 + -3.333333333

Combine like terms: 3.333333333 + -3.333333333 = 0.000000000
0.000000000 + -1.333333333x + x2 = 0 + -3.333333333
-1.333333333x + x2 = 0 + -3.333333333

Combine like terms: 0 + -3.333333333 = -3.333333333
-1.333333333x + x2 = -3.333333333

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 = -3.333333333 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333x + x2 = -3.333333333 + 0.4444444442

Combine like terms: -3.333333333 + 0.4444444442 = -2.8888888888
0.4444444442 + -1.333333333x + x2 = -2.8888888888

Factor a perfect square on the left side:
(x + -0.6666666665)(x + -0.6666666665) = -2.8888888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 3x+5=(-20) | | 3x^2-11x+6= | | 11=(-3)x-10 | | 8x^2-16x+6= | | 5x^2+4x+8=0 | | r^2-16tw+4wr-4tr= | | 4x+2y+4x-5y= | | 5*8N=8 | | -3(3n+2)=9 | | 3/2=x/540 | | 2x-12x+10= | | X^2=-0.5(ln(x)) | | (m+5)(m^2+4m-8)= | | 105-3x=15x+19 | | 20(x)=2x+8 | | 3x^2+22x+35=0 | | 5-10x=60-45x | | 20+30-10= | | 20+30-10=40 | | 5x^2+2x-4=0 | | -20x-x+1=0 | | 32a^2+20a-3=0 | | 5(x-3)=4x-8 | | -4b-15=-3 | | 6c^2+11c-35=0 | | V=x(14-2x)(6-2x) | | b+2=3 | | 4g+15=-5y+9 | | 6y^2+18y-168=0 | | y^2+11y+18=0 | | x+5=3x-15 | | 56x^2+121x+63=0 |

Equations solver categories