3x^2-7x+20=0

Simple and best practice solution for 3x^2-7x+20=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^2-7x+20=0 equation:


Simplifying
3x2 + -7x + 20 = 0

Reorder the terms:
20 + -7x + 3x2 = 0

Solving
20 + -7x + 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'.
6.666666667 + -2.333333333x + x2 = 0

Move the constant term to the right:

Add '-6.666666667' to each side of the equation.
6.666666667 + -2.333333333x + -6.666666667 + x2 = 0 + -6.666666667

Reorder the terms:
6.666666667 + -6.666666667 + -2.333333333x + x2 = 0 + -6.666666667

Combine like terms: 6.666666667 + -6.666666667 = 0.000000000
0.000000000 + -2.333333333x + x2 = 0 + -6.666666667
-2.333333333x + x2 = 0 + -6.666666667

Combine like terms: 0 + -6.666666667 = -6.666666667
-2.333333333x + x2 = -6.666666667

The x term is -2.333333333x.  Take half its coefficient (-1.166666667).
Square it (1.361111112) and add it to both sides.

Add '1.361111112' to each side of the equation.
-2.333333333x + 1.361111112 + x2 = -6.666666667 + 1.361111112

Reorder the terms:
1.361111112 + -2.333333333x + x2 = -6.666666667 + 1.361111112

Combine like terms: -6.666666667 + 1.361111112 = -5.305555555
1.361111112 + -2.333333333x + x2 = -5.305555555

Factor a perfect square on the left side:
(x + -1.166666667)(x + -1.166666667) = -5.305555555

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 2x-[5-(1+x)]=5(x-2)-(7x+3) | | 8y-5=(y-1)+3y | | -3=-3-3x | | y+8=-2(x+4) | | 0.3c=25.9-4c | | 6x-(x*x)=8 | | n*90=7 | | 5x=3x-10 | | (x-1)(x-5)=13 | | 0.4x+6=0.333334n | | 5=-3x | | 5(3+5x)-1=139 | | 8y-5=5(y-1) | | s-32=16 | | 99+880= | | 8x-65=x^2 | | x+x+3=54 | | y=0.15x+0.6 | | 10x-6x+3x-4=9x-2+3x | | 2(x-1)(x-5)=26 | | 4(x+1)+2(1-x)=x | | 2(x+2)=4x | | -5=2x+2 | | -6(45/6-2/3)=278/3 | | x+x=149 | | 4m-2=3m+6 | | 3y-2x+2x=180 | | 4m-2=6+2 | | 3y-9+y+45=7y+40-5y | | v+(v-29.7)+(v+23.9)=194.3 | | -7z+9z=8z+1+2 | | x+2=-20 |

Equations solver categories