20x^2-9x+3=0

Simple and best practice solution for 20x^2-9x+3=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 20x^2-9x+3=0 equation:


Simplifying
20x2 + -9x + 3 = 0

Reorder the terms:
3 + -9x + 20x2 = 0

Solving
3 + -9x + 20x2 = 0

Solving for variable 'x'.

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

Divide each side by '20'.
0.15 + -0.45x + x2 = 0

Move the constant term to the right:

Add '-0.15' to each side of the equation.
0.15 + -0.45x + -0.15 + x2 = 0 + -0.15

Reorder the terms:
0.15 + -0.15 + -0.45x + x2 = 0 + -0.15

Combine like terms: 0.15 + -0.15 = 0.00
0.00 + -0.45x + x2 = 0 + -0.15
-0.45x + x2 = 0 + -0.15

Combine like terms: 0 + -0.15 = -0.15
-0.45x + x2 = -0.15

The x term is -0.45x.  Take half its coefficient (-0.225).
Square it (0.050625) and add it to both sides.

Add '0.050625' to each side of the equation.
-0.45x + 0.050625 + x2 = -0.15 + 0.050625

Reorder the terms:
0.050625 + -0.45x + x2 = -0.15 + 0.050625

Combine like terms: -0.15 + 0.050625 = -0.099375
0.050625 + -0.45x + x2 = -0.099375

Factor a perfect square on the left side:
(x + -0.225)(x + -0.225) = -0.099375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| x+1/x-1=a-b/a+b | | 2x^2+6x+9=8.0627 | | 11-2*(m-4)=9 | | m/3+3=3 | | 39=6c+9 | | 2+200007897=200007899 | | 7d-2=61 | | 4/3=t/2.1 | | 101=6m+83 | | (18/19)^2-1/9*11/20 | | 6-(4x-3y+1)-(5x+2y-9)= | | 260-2x=43x+20 | | 3y-8=4y-7 | | 5x+14=2(2x+8) | | (X)+(X-6)+(8)=360 | | c/5x6 | | 4(4x+4)=3x-4(6-x)+8 | | Y=1/2-5 | | 1/4=8^8x-4 | | .5(2*3.14*3)13=3.14*3*13 | | y-17=14 | | 0.2x(x-5)+1.2=0 | | 6m-12=2*(m-3) | | 5/6-1/2(1/3+3/7) | | 4=z-5 | | 20(-1+10x/5) | | -3(2y+3)-1=-4(y+6)+2y | | 5l=80 | | p-8=-3 | | 16w=64 | | t+5=1 | | 20=14*2(5a+2) |

Equations solver categories