2(x*x)+3x+2=0

Simple and best practice solution for 2(x*x)+3x+2=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 2(x*x)+3x+2=0 equation:


Simplifying
2(x * x) + 3x + 2 = 0

Multiply x * x
2(x2) + 3x + 2 = 0

Reorder the terms:
2 + 3x + 2x2 = 0

Solving
2 + 3x + 2x2 = 0

Solving for variable 'x'.

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

Divide each side by '2'.
1 + 1.5x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + 1.5x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + 1.5x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 1.5x + x2 = 0 + -1
1.5x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
1.5x + x2 = -1

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 = -1 + 0.5625

Reorder the terms:
0.5625 + 1.5x + x2 = -1 + 0.5625

Combine like terms: -1 + 0.5625 = -0.4375
0.5625 + 1.5x + x2 = -0.4375

Factor a perfect square on the left side:
(x + 0.75)(x + 0.75) = -0.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| -2.8*0-2.6y=-9.1 | | 32x+20=195 | | y=1/4x+(-1) | | y=4/5x+7 | | y+4/5x+7 | | 9/y+7=8/y-8 | | 5/3m-2-6/7m=-13 | | 7(3)+8(6)=1 | | 4x^3-6x^2/3x^3+8x^2 | | 2x^2-6x-153=0 | | 1990=-2.02x^2+77.85x+746 | | 1/5x-9/7x=1 | | (344-x)/((344+x)/2)=3.325 | | 1439980=-2.02x^2+77.85x+746 | | 4x^3+10x^2-28x-70=0 | | (344-x)/(344+x)=6.65 | | x-3(-2x+25)=9 | | 21--12= | | 15x=18x+-42000 | | x^4+10x^3+16x^2=0 | | 6+9=10 | | 60+25x+x^2=0 | | 6x-5(-2x+20)=12 | | 0=3x^2+10x+9 | | -1x^2-25x-60=0 | | 12*1+4y=-45 | | 8x-6y=8 | | 12*0+4y=-45 | | 6x-5(-2x+9)=18 | | 2+3*4-6+3= | | 2+3*4-6+3x^2= | | 5x+3/x+4-4x-1/x+4 |

Equations solver categories