2x^2-3x+209=33

Simple and best practice solution for 2x^2-3x+209=33 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 2x^2-3x+209=33 equation:


Simplifying
2x2 + -3x + 209 = 33

Reorder the terms:
209 + -3x + 2x2 = 33

Solving
209 + -3x + 2x2 = 33

Solving for variable 'x'.

Reorder the terms:
209 + -33 + -3x + 2x2 = 33 + -33

Combine like terms: 209 + -33 = 176
176 + -3x + 2x2 = 33 + -33

Combine like terms: 33 + -33 = 0
176 + -3x + 2x2 = 0

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

Divide each side by '2'.
88 + -1.5x + x2 = 0

Move the constant term to the right:

Add '-88' to each side of the equation.
88 + -1.5x + -88 + x2 = 0 + -88

Reorder the terms:
88 + -88 + -1.5x + x2 = 0 + -88

Combine like terms: 88 + -88 = 0
0 + -1.5x + x2 = 0 + -88
-1.5x + x2 = 0 + -88

Combine like terms: 0 + -88 = -88
-1.5x + x2 = -88

The x term is -1.5x.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5x + 0.5625 + x2 = -88 + 0.5625

Reorder the terms:
0.5625 + -1.5x + x2 = -88 + 0.5625

Combine like terms: -88 + 0.5625 = -87.4375
0.5625 + -1.5x + x2 = -87.4375

Factor a perfect square on the left side:
(x + -0.75)(x + -0.75) = -87.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| y=2.8(2)-3.5 | | y=3.5-2.8(2) | | C(x)=0.2x^2-1.6x+10.821 | | 65/3 | | 3/6×1/2 | | log^2(x+5)=9 | | y=3.5(5.50)-2.25 | | 1/3×1/3 | | 9x^2-36x+30=0 | | 5.50=3.5x-2.25 | | 5*2x+4=41 | | 3z^2-2z=2 | | 7x+9=5x+29 | | 4a^2+2a-456=0 | | 3(2x+8)-2(5x-7)=-6x+78 | | x^2+4x-18= | | -9x+230=-13x+294 | | 2x+y+z=600 | | -0.09x+2.3=-0.13x+2.94 | | x+2y=400 | | y/7=3 | | x/405=225/srt(x) | | W=(b+r) | | 1/2=3/4x-3/2 | | 1/2-3/4x-3/2 | | .92x+.42(18)= | | x^2+3x-1= | | 10x-18=2x+4 | | r-2(1-3(2r+4))=61 | | 6y+2x=22 | | ln(x)=0.04165 | | (6k^2-1)(6k^2-1)= |

Equations solver categories