3x^2-10x+16=0

Simple and best practice solution for 3x^2-10x+16=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^2-10x+16=0 equation: 


Simplifying
3x2 + -10x + 16 = 0

Reorder the terms:
16 + -10x + 3x2 = 0

Solving
16 + -10x + 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'.
5.333333333 + -3.333333333x + x2 = 0

Move the constant term to the right:

Add '-5.333333333' to each side of the equation.
5.333333333 + -3.333333333x + -5.333333333 + x2 = 0 + -5.333333333

Reorder the terms:
5.333333333 + -5.333333333 + -3.333333333x + x2 = 0 + -5.333333333

Combine like terms: 5.333333333 + -5.333333333 = 0.000000000
0.000000000 + -3.333333333x + x2 = 0 + -5.333333333
-3.333333333x + x2 = 0 + -5.333333333

Combine like terms: 0 + -5.333333333 = -5.333333333
-3.333333333x + x2 = -5.333333333

The x term is -3.333333333x.  Take half its coefficient (-1.666666667).
Square it (2.777777779) and add it to both sides.

Add '2.777777779' to each side of the equation.
-3.333333333x + 2.777777779 + x2 = -5.333333333 + 2.777777779

Reorder the terms:
2.777777779 + -3.333333333x + x2 = -5.333333333 + 2.777777779

Combine like terms: -5.333333333 + 2.777777779 = -2.555555554
2.777777779 + -3.333333333x + x2 = -2.555555554

Factor a perfect square on the left side:
(x + -1.666666667)(x + -1.666666667) = -2.555555554

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 3n+1(n-6)=x | | 3n-10-5n=-4 | | f(r)=2r^4+2r^2+3r+3 | | 3x^2+20x+12=X | | 72+2x=180 | | ay-b = -cy+2 | | -4+3x-1=2x+1+2 | | ay-b =-cy+2 | | 4+2n+n=-29 | | (6x+7)(3x+4)= | | 2x+7=6+3x | | 6(3x-2)-4(2x-9)=3(3x+4)-5 | | h=-7.3x^2+8.25x+2.1 | | -2+2n-3n=-6 | | f(x)=4.9x^2+5x^3 | | x(12x-41)=0 | | 4g(7g)= | | 2n-7n+6=36 | | 0.2d-0.8(d-10)=24.8 | | 10+2n-5n=-17 | | s=3600-0.8y | | Y-(-6)=(X+5) | | 2(x+4)+2=4x-2(-3+x) | | 3x+(2-4x)usingx=5 | | T(n)=6n-3 | | -3n+6n+10=40 | | 18x-27=6x+54 | | e^10x=6.8 | | -0.2x^2+1.3x+6.2=0 | | X+50-10=99.2 | | 1.8y-2.1-1.5y=2.4 | | 4n-3-5n=4 |

Equations solver categories