(2x^2)+7x+12=0

Simple and best practice solution for (2x^2)+7x+12=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 (2x^2)+7x+12=0 equation:


Simplifying
(2x2) + 7x + 12 = 0

Reorder the terms:
12 + 7x + (2x2) = 0

Solving
12 + 7x + (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'.
6 + 3.5x + x2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + 3.5x + -6 + x2 = 0 + -6

Reorder the terms:
6 + -6 + 3.5x + x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 3.5x + x2 = 0 + -6
3.5x + x2 = 0 + -6

Combine like terms: 0 + -6 = -6
3.5x + x2 = -6

The x term is 3.5x.  Take half its coefficient (1.75).
Square it (3.0625) and add it to both sides.

Add '3.0625' to each side of the equation.
3.5x + 3.0625 + x2 = -6 + 3.0625

Reorder the terms:
3.0625 + 3.5x + x2 = -6 + 3.0625

Combine like terms: -6 + 3.0625 = -2.9375
3.0625 + 3.5x + x2 = -2.9375

Factor a perfect square on the left side:
((x) + 1.75)((x) + 1.75) = -2.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| -2x+4y=24 | | 8-0.9k=8 | | 6x+5=45 | | 4(x-5)=3x-7 | | m^2-20m-300=0 | | x^2-17x-60 | | 24w^10*2u^6= | | 3x-3.8=x-3.0 | | 6y^2+7x-5= | | 4x-3y=-13 | | 4*w^9*u^4*6w*2*u^2= | | x+5y=-9 | | a*n=n^4*n-1 | | 12-12x=6x+45 | | 2x-1=14x+5 | | 20-3z=16 | | 11x+6y=47 | | 3x-4y=41 | | -x-6y=8 | | 7x-15y=1 | | 4x+6y-x+3y= | | 13y-8=15 | | 3a+a=48 | | 13x-15y=-2 | | 3-9c=-42 | | 17x+5=-12 | | 4x^2+17x-42=0 | | 7x-4-x=2x+8-36 | | 4v-19=18 | | 14-2x=-6x+6 | | 50-5x=15 | | -5x=-9+4x |

Equations solver categories